Description: Implicit substitution of a class for a setvar variable. (Contributed by NM, 9-Sep-1993)
Ref | Expression | ||
---|---|---|---|
Hypotheses | vtocle.1 | |- A e. _V |
|
vtocle.2 | |- ( x = A -> ph ) |
||
Assertion | vtocle | |- ph |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtocle.1 | |- A e. _V |
|
2 | vtocle.2 | |- ( x = A -> ph ) |
|
3 | 2 | vtocleg | |- ( A e. _V -> ph ) |
4 | 1 3 | ax-mp | |- ph |