Description: Change bound variable in a directed integral. (Contributed by Mario Carneiro, 7-Sep-2014)
Ref | Expression | ||
---|---|---|---|
Hypothesis | cbvditg.1 | |- ( x = y -> C = D ) |
|
Assertion | cbvditgv | |- S_ [ A -> B ] C _d x = S_ [ A -> B ] D _d y |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvditg.1 | |- ( x = y -> C = D ) |
|
2 | nfcv | |- F/_ y C |
|
3 | nfcv | |- F/_ x D |
|
4 | 1 2 3 | cbvditg | |- S_ [ A -> B ] C _d x = S_ [ A -> B ] D _d y |