Theorem eqcomi

Description: Inference from commutative law for class equality. (Contributed by NM, 26-May-1993)

	Ref	Expression
Hypothesis	eqcomi.1	⊢ 𝐴 = 𝐵
Assertion	eqcomi	⊢ 𝐵 = 𝐴

Proof

Step	Hyp	Ref	Expression
1		eqcomi.1	⊢ 𝐴 = 𝐵
2		eqcom	⊢ ( 𝐴 = 𝐵 ↔ 𝐵 = 𝐴 )
3	1 2	mpbi	⊢ 𝐵 = 𝐴