Theorem fveqeq2

Description: Equality deduction for function value. (Contributed by BJ, 31-Aug-2022)

	Ref	Expression
Assertion	fveqeq2	$$⊢A=B\to \left(F\left(A\right)=C\leftrightarrow F\left(B\right)=C\right)$$

Proof

Step	Hyp	Ref	Expression
1		id	$$⊢A=B\to A=B$$
2	1	fveqeq2d	$$⊢A=B\to \left(F\left(A\right)=C\leftrightarrow F\left(B\right)=C\right)$$