Theorem fvoveq1d

Description: Equality deduction for nested function and operation value. (Contributed by AV, 23-Jul-2022)

	Ref	Expression
Hypothesis	fvoveq1d.1	$$⊢\phi \to A=B$$
Assertion	fvoveq1d	$$⊢\phi \to F\left(AOC\right)=F\left(BOC\right)$$

Proof

Step	Hyp	Ref	Expression
1		fvoveq1d.1	$$⊢\phi \to A=B$$
2	1	oveq1d	$$⊢\phi \to AOC=BOC$$
3	2	fveq2d	$$⊢\phi \to F\left(AOC\right)=F\left(BOC\right)$$