Theorem eqtr4i

Description: An equality transitivity inference. (Contributed by NM, 26-May-1993)

	Ref	Expression
Hypotheses	eqtr4i.1	⊢ 𝐴 = 𝐵
	eqtr4i.2	⊢ 𝐶 = 𝐵
Assertion	eqtr4i	⊢ 𝐴 = 𝐶

Proof

Step	Hyp	Ref	Expression
1		eqtr4i.1	⊢ 𝐴 = 𝐵
2		eqtr4i.2	⊢ 𝐶 = 𝐵
3	2	eqcomi	⊢ 𝐵 = 𝐶
4	1 3	eqtri	⊢ 𝐴 = 𝐶