Theorem oteq1d

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

	Ref	Expression
Hypothesis	oteq1d.1	|- ( ph -> A = B )
Assertion	oteq1d	|- ( ph -> <. A , C , D >. = <. B , C , D >. )

Proof

Step	Hyp	Ref	Expression
1		oteq1d.1	|- ( ph -> A = B )
2		oteq1	|- ( A = B -> <. A , C , D >. = <. B , C , D >. )
3	1 2	syl	|- ( ph -> <. A , C , D >. = <. B , C , D >. )