Theorem funALTVeqi

Description: Equality inference for the function predicate. (Contributed by Jonathan Ben-Naim, 3-Jun-2011)

	Ref	Expression
Hypothesis	funALTVeqi.1	$$⊢A=B$$
Assertion	funALTVeqi	$$⊢FunALTVA\leftrightarrow FunALTVB$$

Proof

Step	Hyp	Ref	Expression
1		funALTVeqi.1	$$⊢A=B$$
2		funALTVeq	$$⊢A=B\to \left(FunALTVA\leftrightarrow FunALTVB\right)$$
3	1 2	ax-mp	$$⊢FunALTVA\leftrightarrow FunALTVB$$