Description: Obsolete version of mpteq2dva as of 11-Nov-2024. (Contributed by Scott Fenton, 25-Apr-2012) (Proof modification is discouraged.) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | mpteq2dva.1 | |- ( ( ph /\ x e. A ) -> B = C ) |
|
| Assertion | mpteq2dvaOLD | |- ( ph -> ( x e. A |-> B ) = ( x e. A |-> C ) ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | mpteq2dva.1 | |- ( ( ph /\ x e. A ) -> B = C ) |
|
| 2 | nfv | |- F/ x ph |
|
| 3 | 2 1 | mpteq2da | |- ( ph -> ( x e. A |-> B ) = ( x e. A |-> C ) ) |