Theorem afveq2

Description: Equality theorem for function value, analogous to fveq1 . (Contributed by Alexander van der Vekens, 22-Jul-2017)

	Ref	Expression
Assertion	afveq2	⊢ ( 𝐴 = 𝐵 → ( 𝐹 ''' 𝐴 ) = ( 𝐹 ''' 𝐵 ) )

Proof

Step	Hyp	Ref	Expression
1		eqidd	⊢ ( 𝐴 = 𝐵 → 𝐹 = 𝐹 )
2		id	⊢ ( 𝐴 = 𝐵 → 𝐴 = 𝐵 )
3	1 2	afveq12d	⊢ ( 𝐴 = 𝐵 → ( 𝐹 ''' 𝐴 ) = ( 𝐹 ''' 𝐵 ) )