Theorem oteq2d

Description: Equality deduction for ordered triples. (Contributed by Mario Carneiro, 11-Jan-2017)

	Ref	Expression
Hypothesis	oteq1d.1	$$⊢\phi \to A=B$$
Assertion	oteq2d	$$⊢\phi \to ⟨C,A,D⟩=⟨C,B,D⟩$$

Proof

Step	Hyp	Ref	Expression
1		oteq1d.1	$$⊢\phi \to A=B$$
2		oteq2	$$⊢A=B\to ⟨C,A,D⟩=⟨C,B,D⟩$$
3	1 2	syl	$$⊢\phi \to ⟨C,A,D⟩=⟨C,B,D⟩$$