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Metamath Proof Explorer

Theorem oveq12

Description: Equality theorem for operation value. (Contributed by NM, 16-Jul-1995)

		Ref	Expression
	Assertion	oveq12	$⊢ (A = B \land C = D) \to A F C = B F D$

Step	Hyp	Ref	Expression
1		oveq1	$⊢ A = B \to A F C = B F C$
2		oveq2	$⊢ C = D \to B F C = B F D$
3	1 2	sylan9eq	$⊢ (A = B \land C = D) \to A F C = B F D$