Theorem fveq1i

Description: Equality inference for function value. (Contributed by NM, 2-Sep-2003)

	Ref	Expression
Hypothesis	fveq1i.1	⊢ 𝐹 = 𝐺
Assertion	fveq1i	⊢ ( 𝐹 ‘ 𝐴 ) = ( 𝐺 ‘ 𝐴 )

Proof

Step	Hyp	Ref	Expression
1		fveq1i.1	⊢ 𝐹 = 𝐺
2		fveq1	⊢ ( 𝐹 = 𝐺 → ( 𝐹 ‘ 𝐴 ) = ( 𝐺 ‘ 𝐴 ) )
3	1 2	ax-mp	⊢ ( 𝐹 ‘ 𝐴 ) = ( 𝐺 ‘ 𝐴 )