Theorem int-eqtransd

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

	Ref	Expression
Hypotheses	int-eqtransd.1	$$⊢\phi \to A=B$$
	int-eqtransd.2	$$⊢\phi \to B=C$$
Assertion	int-eqtransd	$$⊢\phi \to A=C$$

Proof

Step	Hyp	Ref	Expression
1		int-eqtransd.1	$$⊢\phi \to A=B$$
2		int-eqtransd.2	$$⊢\phi \to B=C$$
3	1 2	eqtrd	$$⊢\phi \to A=C$$