Description: Deduce conditional equality from a theorem. (Contributed by Mario Carneiro, 11-Aug-2016)
Ref | Expression | ||
---|---|---|---|
Hypothesis | cdeqth.1 | |- ph |
|
Assertion | cdeqth | |- CondEq ( x = y -> ph ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdeqth.1 | |- ph |
|
2 | 1 | a1i | |- ( x = y -> ph ) |
3 | 2 | cdeqi | |- CondEq ( x = y -> ph ) |