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