Theorem cosscnvid

Description: Cosets by the converse identity relation are the identity relation. (Contributed by Peter Mazsa, 27-Sep-2021)

	Ref	Expression
Assertion	cosscnvid	⊢ ≀ ◡ I = I

Proof

Step	Hyp	Ref	Expression
1		cnvi	⊢ ◡ I = I
2	1	cosseqi	⊢ ≀ ◡ I = ≀ I
3		cossid	⊢ ≀ I = I
4	2 3	eqtri	⊢ ≀ ◡ I = I