Theorem sumeq2sdvOLD

Description: Obsolete version of sumeq2sdv as of 14-Aug-2025. (Contributed by NM, 3-Jan-2006) (Proof shortened by Glauco Siliprandi, 5-Apr-2020) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Hypothesis	sumeq2sdvOLD.1	|- ( ph -> B = C )
Assertion	sumeq2sdvOLD	|- ( ph -> sum_ k e. A B = sum_ k e. A C )

Proof

Step	Hyp	Ref	Expression
1		sumeq2sdvOLD.1	|- ( ph -> B = C )
2	1	ralrimivw	|- ( ph -> A. k e. A B = C )
3	2	sumeq2d	|- ( ph -> sum_ k e. A B = sum_ k e. A C )