Theorem prodeq2sdvOLD

Description: Obsolete version of prodeq2sdv as of 1-Sep-2025. (Contributed by Scott Fenton, 4-Dec-2017) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	prodeq2sdvOLD.1	$$⊢\phi \to B=C$$
Assertion	prodeq2sdvOLD	$$⊢\phi \to \prod _{k\in A}B=\prod _{k\in A}C$$

Proof

Step	Hyp	Ref	Expression
1		prodeq2sdvOLD.1	$$⊢\phi \to B=C$$
2	1	adantr	$$⊢\left(\phi \wedge k\in A\right)\to B=C$$
3	2	prodeq2dv	$$⊢\phi \to \prod _{k\in A}B=\prod _{k\in A}C$$