Metamath Proof Explorer


Theorem eqtr2i

Description: An equality transitivity inference. (Contributed by NM, 21-Feb-1995)

Ref Expression
Hypotheses eqtr2i.1 𝐴 = 𝐵
eqtr2i.2 𝐵 = 𝐶
Assertion eqtr2i 𝐶 = 𝐴

Proof

Step Hyp Ref Expression
1 eqtr2i.1 𝐴 = 𝐵
2 eqtr2i.2 𝐵 = 𝐶
3 1 2 eqtri 𝐴 = 𝐶
4 3 eqcomi 𝐶 = 𝐴