Theorem cmidi

Description: The commutes relation is reflexive. (Contributed by NM, 7-Aug-2004) (New usage is discouraged.)

	Ref	Expression
Hypothesis	cmid.1	⊢ 𝐴 ∈ Cℋ
Assertion	cmidi	⊢ 𝐴 𝐶ℋ 𝐴

Proof

Step	Hyp	Ref	Expression
1		cmid.1	⊢ 𝐴 ∈ Cℋ
2		ssid	⊢ 𝐴 ⊆ 𝐴
3	1 1 2	lecmii	⊢ 𝐴 𝐶ℋ 𝐴