Theorem seqeq3d

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

	Ref	Expression
Hypothesis	seqeqd.1	|- ( ph -> A = B )
Assertion	seqeq3d	|- ( ph -> seq M ( .+ , A ) = seq M ( .+ , B ) )

Proof

Step	Hyp	Ref	Expression
1		seqeqd.1	|- ( ph -> A = B )
2		seqeq3	|- ( A = B -> seq M ( .+ , A ) = seq M ( .+ , B ) )
3	1 2	syl	|- ( ph -> seq M ( .+ , A ) = seq M ( .+ , B ) )