Metamath Proof Explorer

Theorem partimcomember

Description: Partition with general R (in addition to the member partition cf. mpet and mpet2 ) implies equivalent comembers. (Contributed by Peter Mazsa, 23-Sep-2021) (Revised by Peter Mazsa, 22-Dec-2024)

		Ref	Expression
	Assertion	partimcomember	$⊢ R Part A \to CoMembEr A$

Proof

Step	Hyp	Ref	Expression
1		partim	$⊢ R Part A \to ≀ R ErALTV A$
2		mainer	$⊢ ≀ R ErALTV A \to CoMembEr A$
3	1 2	syl	$⊢ R Part A \to CoMembEr A$