Metamath Proof Explorer

Theorem prodeq1iOLD

Description: Obsolete version of prodeq1i as of 1-Sep-2025. (Contributed by Scott Fenton, 4-Dec-2017) (Proof modification is discouraged.) (New usage is discouraged.)

		Ref	Expression
	Hypothesis	prodeq1iOLD.1	$⊢ A = B$
	Assertion	prodeq1iOLD	$⊢ \prod_{k \in A} C = \prod_{k \in B} C$

Proof

Step	Hyp	Ref	Expression
1		prodeq1iOLD.1	$⊢ A = B$
2		prodeq1	$⊢ A = B \to \prod_{k \in A} C = \prod_{k \in B} C$
3	1 2	ax-mp	$⊢ \prod_{k \in A} C = \prod_{k \in B} C$