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	⊢ ( FunALTV 𝐴 ↔ FunALTV 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		funALTVeqi.1	⊢ 𝐴 = 𝐵
2		funALTVeq	⊢ ( 𝐴 = 𝐵 → ( FunALTV 𝐴 ↔ FunALTV 𝐵 ) )
3	1 2	ax-mp	⊢ ( FunALTV 𝐴 ↔ FunALTV 𝐵 )