This page contains three views of the steps in the derivation: d3js, graphviz PNG, and a table.
Notes for this derivation:
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Index  Inference Rule  Input latex  Feeds latex  Output latex  step validity  dimension check  unit check  notes 

1  change two variables in expr 



valid 
4087145886:
4128500715: 
4087145886:
4128500715: 

2  change two variables in expr 



valid 
4087145886:
9243879541: 
4087145886:
9243879541: 

3  divide both sides by 



valid 
9243879541:
7002609475: 
9243879541:
7002609475: 

4  divide both sides by 



valid 
4128500715:
2051901211: 
4128500715:
2051901211: 

5  declare initial expr 



no validation is available for declarations 
6753224061:

6753224061:

current flows through both resistors 
6  change two variables in expr 



valid 
4087145886:
2271186630: 
4087145886:
2271186630: 

7  divide both sides by 



valid 
2271186630:
2809345867: 
2271186630:
2809345867: 

8  substitute LHS of three expressions into expr 



no check performed 
2809345867:
2051901211: 7002609475: 6753224061: 4866160902: 
2809345867:
2051901211: 7002609475: 6753224061: 4866160902: 

9  divide both sides by 



valid 
4866160902:
1457415749: dimensions are consistent 
4866160902:
1457415749: N/A 

10  declare final expr 



no validation is available for declarations 
1457415749:
dimensions are consistent 
1457415749:
N/A 
symbol ID  category  latex  scope  dimension  name  value  Used in derivations  references  

3978  variable 
I_1
\(I_1\) 
real 

electric current  4  
1908  variable 
R_{\rm total}
\(R_{\rm total}\) 
real 

electrical resistance  9  
3461  variable 
R_2
\(R_2\) 
real 

electrical resistance  10  
9647  variable 
I_{\rm total}
\(I_{\rm total}\) 
real 

electric current  4  
4501  variable 
I
\(I\) 
real 

electric current  9  
6599  variable 
V
\(V\) 
real 

voltage  11  
6458  variable 
R
\(R\) 
real 

electrical resistance  6  
4856  variable 
I_2
\(I_2\) 
real 

electric current  4  
8697  variable 
R_1
\(R_1\) 
real 

electrical resistance  10 