Metamath Proof Explorer


Theorem int-eqtransd

Description: EqualityTransitivity generator rule. (Contributed by Stanislas Polu, 7-Apr-2020)

Ref Expression
Hypotheses int-eqtransd.1 φ A = B
int-eqtransd.2 φ B = C
Assertion int-eqtransd φ A = C

Proof

Step Hyp Ref Expression
1 int-eqtransd.1 φ A = B
2 int-eqtransd.2 φ B = C
3 1 2 eqtrd φ A = C