digraph physicsDerivation { 
overlap = false;
label="derivation: Lorentz transformation
https://allofphysiscs.com";
fontsize=12;
0001337934 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0001337934 -> generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4;
generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4.png",labelloc=b];
0009869359 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0009869359 -> generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52;
generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52.png",labelloc=b];
0006150706 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSofexpr1intoexpr2.png",labelloc=b];
generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52 -> 0006150706;
generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2983053062_59df192e17a0d0e8ab931cb587b1185de0cf54b269c92d91f799f30c3a01da52.png",labelloc=b];
generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4 -> 0006150706;
generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4.png",labelloc=b];
0006150706 -> generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750;
generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750.png",labelloc=b];
0004777578 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750 -> 0004777578;
generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3426941928_f5b0f166f97f0eb1d79af69a80a21dd452945da003affc89cfb04f2b35b23750.png",labelloc=b];
0004777578 -> generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814;
generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814.png",labelloc=b];
0005708661 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814 -> 0005708661;
generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2096918413_9ea9fe0d8c9edbd6188e4bb57fbe9b369333e6cc6f6071cee9128efbb8558814.png",labelloc=b];
0005708661 -> generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4;
generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4.png",labelloc=b];
0003244831 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4 -> 0003244831;
generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7741202861_b8456f5dcebe5e648d8294269982c62e940c48f10cd35256a25e7874bb34f5e4.png",labelloc=b];
0003244831 -> generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8;
generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8.png",labelloc=b];
generated_feed_7337056406_afa3ca029c806b51db789041ee63e61716dbbc52606d6e669978ecb02ebe83f8 -> 0003244831;
generated_feed_7337056406_afa3ca029c806b51db789041ee63e61716dbbc52606d6e669978ecb02ebe83f8 [shape=box, color=red,label="",image="/code/static/generated_feed_7337056406_afa3ca029c806b51db789041ee63e61716dbbc52606d6e669978ecb02ebe83f8.png",labelloc=b];
0009520931 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_factoroutXfromLHS.png",labelloc=b];
generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8 -> 0009520931;
generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4139999399_0f3a932114557a261159559e86a39633f6783ca40e0914e6a1412f1aa7402fc8.png",labelloc=b];
0009520931 -> generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c;
generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c.png",labelloc=b];
generated_feed_3495403335_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881 -> 0009520931;
generated_feed_3495403335_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881 [shape=box, color=red,label="",image="/code/static/generated_feed_3495403335_2d711642b726b04401627ca9fbac32f5c8530fb1903cc4db02258717921a4881.png",labelloc=b];
0008199201 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_addXtobothsides.png",labelloc=b];
generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c -> 0008199201;
generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9031609275_cd7d01b9ef005cea15c568e14d43af650ef8d4b80f61fc5e2492db1bccaabb8c.png",labelloc=b];
0008199201 -> generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827;
generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827.png",labelloc=b];
generated_feed_8014566709_7ae9727b69df485899cf79ed644553932657876031b04d67b35f9d3b371b964e -> 0008199201;
generated_feed_8014566709_7ae9727b69df485899cf79ed644553932657876031b04d67b35f9d3b371b964e [shape=box, color=red,label="",image="/code/static/generated_feed_8014566709_7ae9727b69df485899cf79ed644553932657876031b04d67b35f9d3b371b964e.png",labelloc=b];
0006431475 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827 -> 0006431475;
generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9409776983_860c5b122709a63e31e4a9ce5c73f245ad411ab7c413d34ffe6e5c7b57221827.png",labelloc=b];
0006431475 -> generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a;
generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a.png",labelloc=b];
generated_feed_2226340358_8ca546cd6df65d99e3863aa9506c825cb48ff4a77931dc141df26dbceecf2b85 -> 0006431475;
generated_feed_2226340358_8ca546cd6df65d99e3863aa9506c825cb48ff4a77931dc141df26dbceecf2b85 [shape=box, color=red,label="",image="/code/static/generated_feed_2226340358_8ca546cd6df65d99e3863aa9506c825cb48ff4a77931dc141df26dbceecf2b85.png",labelloc=b];
0004052521 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a -> 0004052521;
generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1974334644_f981ff0b213008037c51292f1ea17eafc0ee78a85d2f7c49f941df8eead9f90a.png",labelloc=b];
0004052521 -> generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c;
generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c.png",labelloc=b];
0003002960 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_swapLHSwithRHS.png",labelloc=b];
generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c -> 0003002960;
generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8730201316_f25c751d5b44fa2adf886dae5ecaf505d504ef088ce96bbb5f97af8763034d3c.png",labelloc=b];
0003002960 -> generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147;
generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147.png",labelloc=b];
0003151962 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0003151962 -> generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2;
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2.png",labelloc=b];
0005637413 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareinitialexpression.png",labelloc=b];
0005637413 -> generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac;
generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac.png",labelloc=b];
0005796383 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareassumption.png",labelloc=b];
0005796383 -> generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d;
generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d.png",labelloc=b];
0002712078 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declareassumption.png",labelloc=b];
0002712078 -> generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9;
generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9.png",labelloc=b];
0008057586 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_substituteLHSoffourexpressionsintoexpression.png",labelloc=b];
generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac -> 0008057586;
generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1201689765_1bcd2da8ab125e4275fc9d81c7f234094113f766b68de2ee02164088e75c91ac.png",labelloc=b];
generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4 -> 0008057586;
generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4662369843_160a0c7267b7ace0d3933eeeb8ddb9a4b76bdcad943c4f520197c38728d2baf4.png",labelloc=b];
generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147 -> 0008057586;
generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5148266645_20d6d7fedd1b87f74b12bfa816be8c4876edf034f3fb6a9b2b6df8684e6e9147.png",labelloc=b];
generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d -> 0008057586;
generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7057864873_5d0c742e95c50688543a9b0415a2abe826d3979fdab7de759741ca1c8d2ff09d.png",labelloc=b];
generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9 -> 0008057586;
generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8515803375_c54370416fbfda906ec36d12ef7421cb268679173916b14516a9b325d7a3e8c9.png",labelloc=b];
0008057586 -> generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60;
generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60.png",labelloc=b];
0005537889 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60 -> 0005537889;
generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_9805063945_3fcb8d71b55901768dcf8697bd555cd1ef539d9d60f19a9efefeff36380d3b60.png",labelloc=b];
0005537889 -> generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3;
generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3.png",labelloc=b];
0007160101 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_simplify.png",labelloc=b];
generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3 -> 0007160101;
generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1935543849_cfd41ee6793f1ef2c2a228827624f72e5fd4c8e1a085e39da8e5f5b1ab4249f3.png",labelloc=b];
0007160101 -> generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190;
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190.png",labelloc=b];
0004875843 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_expr1isequivalenttoexpr2underthecondition.png",labelloc=b];
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 -> 0004875843;
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190.png",labelloc=b];
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 -> 0004875843;
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2.png",labelloc=b];
0004875843 -> generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146;
generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146.png",labelloc=b];
0001336657 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_expr1isequivalenttoexpr2underthecondition.png",labelloc=b];
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 -> 0001336657;
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190.png",labelloc=b];
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 -> 0001336657;
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2.png",labelloc=b];
0001336657 -> generated_expression_1916173354_d422ea4844cf0a808adeb09b7ff3da1ba13efec74e7b6150acee491816f502b7;
generated_expression_1916173354_d422ea4844cf0a808adeb09b7ff3da1ba13efec74e7b6150acee491816f502b7 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1916173354_d422ea4844cf0a808adeb09b7ff3da1ba13efec74e7b6150acee491816f502b7.png",labelloc=b];
0007832193 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_expr1isequivalenttoexpr2underthecondition.png",labelloc=b];
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 -> 0007832193;
generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1586866563_41ac39e65a17d6f45128901710d1d98535a6312bcb2c3f28a0a8d75fa7f94190.png",labelloc=b];
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 -> 0007832193;
generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_4287102261_901e5027986b23ff8a41885f54931bb35d18c006559c848900d479e7a23c66c2.png",labelloc=b];
0007832193 -> generated_expression_2076171250_a580d3b0467294e428ecfde20e062936341a2a0b2902433cfb1b0db44d1ba494;
generated_expression_2076171250_a580d3b0467294e428ecfde20e062936341a2a0b2902433cfb1b0db44d1ba494 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2076171250_a580d3b0467294e428ecfde20e062936341a2a0b2902433cfb1b0db44d1ba494.png",labelloc=b];
0005029881 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146 -> 0005029881;
generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_3182633789_3e4a842dbd4e9225526732d4852c4fa06bb13ee48fbedc345d2d157887981146.png",labelloc=b];
0005029881 -> generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0;
generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0.png",labelloc=b];
generated_feed_5284610349_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233 -> 0005029881;
generated_feed_5284610349_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233 [shape=box, color=red,label="",image="/code/static/generated_feed_5284610349_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233.png",labelloc=b];
0003464414 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0 -> 0003464414;
generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2417941373_4e9d91dd9fa84a72743e7a457382c204eb31363e78d341f116f7a327d8dfc0a0.png",labelloc=b];
0003464414 -> generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3;
generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3.png",labelloc=b];
generated_feed_5787469164_74faf4900bc292c73e8987a209b2b22485ac656034a8592ed6e54ef7263cad3e -> 0003464414;
generated_feed_5787469164_74faf4900bc292c73e8987a209b2b22485ac656034a8592ed6e54ef7263cad3e [shape=box, color=red,label="",image="/code/static/generated_feed_5787469164_74faf4900bc292c73e8987a209b2b22485ac656034a8592ed6e54ef7263cad3e.png",labelloc=b];
0004044426 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_multiplybothsidesby.png",labelloc=b];
generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3 -> 0004044426;
generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1639827492_111a28ef9bdbba65a782c6460ecc3f0704aeca5b0f9869eaaedc91168cbc36f3.png",labelloc=b];
0004044426 -> generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd;
generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd.png",labelloc=b];
generated_feed_5669500954_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd -> 0004044426;
generated_feed_5669500954_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd [shape=box, color=red,label="",image="/code/static/generated_feed_5669500954_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd.png",labelloc=b];
0003201871 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_addXtobothsides.png",labelloc=b];
generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd -> 0003201871;
generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd [shape=ellipse, color=black,label="",image="/code/static/generated_expression_5763749235_cbacb828573602e1389954361c98a7b926c78356de8025fb2a6a29452c7113bd.png",labelloc=b];
0003201871 -> generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7;
generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7.png",labelloc=b];
generated_feed_6408214498_6c8483926602e3e37e7d7ea801844b6bc9e2a28e115b3741feda4b3c93a63e96 -> 0003201871;
generated_feed_6408214498_6c8483926602e3e37e7d7ea801844b6bc9e2a28e115b3741feda4b3c93a63e96 [shape=box, color=red,label="",image="/code/static/generated_feed_6408214498_6c8483926602e3e37e7d7ea801844b6bc9e2a28e115b3741feda4b3c93a63e96.png",labelloc=b];
0008488825 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_subtractXfrombothsides.png",labelloc=b];
generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7 -> 0008488825;
generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2999795755_1313a32bf3033fcf35d9941a1efeaa42be744c78524c6a1c0e7cc032b3bad4c7.png",labelloc=b];
0008488825 -> generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6;
generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6.png",labelloc=b];
generated_feed_3412946408_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd -> 0008488825;
generated_feed_3412946408_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd [shape=box, color=red,label="",image="/code/static/generated_feed_3412946408_5d46b9c4b339a91e21372a94026fa4ff565febe19f59762484e3a756e1a03cbd.png",labelloc=b];
0007599260 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_factoroutXfromLHS.png",labelloc=b];
generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6 -> 0007599260;
generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_2542420160_b42f6b3fca582cfaa4c6d8e430ad5fddbe1f9e8af1dff39b41e5a743c2786aa6.png",labelloc=b];
0007599260 -> generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb;
generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb.png",labelloc=b];
generated_feed_7743841045_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233 -> 0007599260;
generated_feed_7743841045_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233 [shape=box, color=red,label="",image="/code/static/generated_feed_7743841045_4569df46706329aeff4667c4c68505cc9755e2892e9f873268fb907535f40233.png",labelloc=b];
0009486255 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_dividebothsidesby.png",labelloc=b];
generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb -> 0009486255;
generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7513513483_f5cb5e682317346028b3b8f5b3208075bb97aa351ecb03f7e69234c98fe9a9bb.png",labelloc=b];
0009486255 -> generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88;
generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88.png",labelloc=b];
generated_feed_8571466509_7d1728557f93ecb886355f1271434548f34c7e1b2186e6f113a7e918d8eea9fe -> 0009486255;
generated_feed_8571466509_7d1728557f93ecb886355f1271434548f34c7e1b2186e6f113a7e918d8eea9fe [shape=box, color=red,label="",image="/code/static/generated_feed_8571466509_7d1728557f93ecb886355f1271434548f34c7e1b2186e6f113a7e918d8eea9fe.png",labelloc=b];
0005211114 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_squarerootbothsides.png",labelloc=b];
generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88 -> 0005211114;
generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_7906112355_d495c85dfab33f8f939be8b87ce14cf26e3166bb2a34f01ba0e558f08aa3db88.png",labelloc=b];
0005211114 -> generated_expression_8360117126_1c19a32ccae1bbcaccbb3bc1c1e24fd344ca7c7a1b85f6f63f5eb03ed91f5db8;
generated_expression_8360117126_1c19a32ccae1bbcaccbb3bc1c1e24fd344ca7c7a1b85f6f63f5eb03ed91f5db8 [shape=ellipse, color=black,label="",image="/code/static/generated_expression_8360117126_1c19a32ccae1bbcaccbb3bc1c1e24fd344ca7c7a1b85f6f63f5eb03ed91f5db8.png",labelloc=b];
0005211114 -> generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d;
generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d.png",labelloc=b];
0005619063 [shape=invtrapezium, color=blue, label="",image="/code/static/generated_declarefinalexpression.png",labelloc=b];
generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d -> 0005619063;
generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d [shape=ellipse, color=black,label="",image="/code/static/generated_expression_1528310784_8354b3613a83a64cbb54ca031e5f639c03d29ac008fe6d32ca33ce307311844d.png",labelloc=b];
}