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	$$⊢\phi \to B=C$$
Assertion	sumeq2sdvOLD	$$⊢\phi \to \sum _{k\in A}B=\sum _{k\in A}C$$

Proof

Step	Hyp	Ref	Expression
1		sumeq2sdvOLD.1	$$⊢\phi \to B=C$$
2	1	ralrimivw	$$⊢\phi \to \forall k\in AB=C$$
3	2	sumeq2d	$$⊢\phi \to \sum _{k\in A}B=\sum _{k\in A}C$$