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 ) |