Metamath Proof Explorer
Description: Conversion of implicit substitution to explicit substitution into a
class. (Contributed by AV, 2-Dec-2019)
|
|
Ref |
Expression |
|
Hypotheses |
csbie.1 |
|- A e. _V |
|
|
csbie.2 |
|- ( x = A -> B = C ) |
|
Assertion |
csbie |
|- [_ A / x ]_ B = C |
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
csbie.1 |
|- A e. _V |
2 |
|
csbie.2 |
|- ( x = A -> B = C ) |
3 |
|
nfcv |
|- F/_ x C |
4 |
1 3 2
|
csbief |
|- [_ A / x ]_ B = C |