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Metamath Proof Explorer

Theorem disjimi

Description: Every disjoint relation generates equivalent cosets by the relation, inference version. (Contributed by Peter Mazsa, 30-Sep-2021)

		Ref	Expression
	Hypothesis	disjimi.1	$⊢ Disj R$
	Assertion	disjimi	$⊢ EqvRel ≀ R$

Step	Hyp	Ref	Expression
1		disjimi.1	$⊢ Disj R$
2		disjim	$⊢ Disj R \to EqvRel ≀ R$
3	1 2	ax-mp	$⊢ EqvRel ≀ R$