Theorem fveq2i

Description: Equality inference for function value. (Contributed by NM, 28-Jul-1999)

	Ref	Expression
Hypothesis	fveq2i.1	⊢ 𝐴 = 𝐵
Assertion	fveq2i	⊢ ( 𝐹 ‘ 𝐴 ) = ( 𝐹 ‘ 𝐵 )

Proof

Step	Hyp	Ref	Expression
1		fveq2i.1	⊢ 𝐴 = 𝐵
2		fveq2	⊢ ( 𝐴 = 𝐵 → ( 𝐹 ‘ 𝐴 ) = ( 𝐹 ‘ 𝐵 ) )
3	1 2	ax-mp	⊢ ( 𝐹 ‘ 𝐴 ) = ( 𝐹 ‘ 𝐵 )