Description: Conversion of implicit substitution to explicit class substitution. (Contributed by NM, 10-Nov-2005)
Ref | Expression | ||
---|---|---|---|
Hypothesis | sbcieg.1 | |- ( x = A -> ( ph <-> ps ) ) |
|
Assertion | sbcieg | |- ( A e. V -> ( [. A / x ]. ph <-> ps ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbcieg.1 | |- ( x = A -> ( ph <-> ps ) ) |
|
2 | nfv | |- F/ x ps |
|
3 | 2 1 | sbciegf | |- ( A e. V -> ( [. A / x ]. ph <-> ps ) ) |