Theorem cmidi

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

	Ref	Expression
Hypothesis	cmid.1	$$⊢A\in {\mathbf{C}}_{\mathscr{H}}$$
Assertion	cmidi	$$⊢A{𝐶}_{\mathscr{H}}A$$

Proof

Step	Hyp	Ref	Expression
1		cmid.1	$$⊢A\in {\mathbf{C}}_{\mathscr{H}}$$
2		ssid	$$⊢A\subseteq A$$
3	1 1 2	lecmii	$$⊢A{𝐶}_{\mathscr{H}}A$$