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	|- ( ph -> B = C )
Assertion	prodeq2sdvOLD	|- ( ph -> prod_ k e. A B = prod_ k e. A C )

Proof

Step	Hyp	Ref	Expression
1		prodeq2sdvOLD.1	|- ( ph -> B = C )
2	1	adantr	|- ( ( ph /\ k e. A ) -> B = C )
3	2	prodeq2dv	|- ( ph -> prod_ k e. A B = prod_ k e. A C )