Theorem eqtr3i

Description: An equality transitivity inference. (Contributed by NM, 6-May-1994)

	Ref	Expression
Hypotheses	eqtr3i.1	⊢ 𝐴 = 𝐵
	eqtr3i.2	⊢ 𝐴 = 𝐶
Assertion	eqtr3i	⊢ 𝐵 = 𝐶

Proof

Step	Hyp	Ref	Expression
1		eqtr3i.1	⊢ 𝐴 = 𝐵
2		eqtr3i.2	⊢ 𝐴 = 𝐶
3	1	eqcomi	⊢ 𝐵 = 𝐴
4	3 2	eqtri	⊢ 𝐵 = 𝐶