Metamath Proof Explorer


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