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 )