Theorem itgeq1d

Description: Equality theorem for an integral. (Contributed by Glauco Siliprandi, 11-Dec-2019)

	Ref	Expression
Hypothesis	itgeq1d.aeqb	|- ( ph -> A = B )
Assertion	itgeq1d	|- ( ph -> S. A C _d x = S. B C _d x )

Proof

Step	Hyp	Ref	Expression
1		itgeq1d.aeqb	|- ( ph -> A = B )
2		itgeq1	|- ( A = B -> S. A C _d x = S. B C _d x )
3	1 2	syl	|- ( ph -> S. A C _d x = S. B C _d x )