Theorem seqeq1d

Description: Equality deduction for the sequence builder operation. (Contributed by Mario Carneiro, 7-Sep-2013)

	Ref	Expression
Hypothesis	seqeqd.1	|- ( ph -> A = B )
Assertion	seqeq1d	|- ( ph -> seq A ( .+ , F ) = seq B ( .+ , F ) )

Proof

Step	Hyp	Ref	Expression
1		seqeqd.1	|- ( ph -> A = B )
2		seqeq1	|- ( A = B -> seq A ( .+ , F ) = seq B ( .+ , F ) )
3	1 2	syl	|- ( ph -> seq A ( .+ , F ) = seq B ( .+ , F ) )