Theorem int-addsimpd

Description: AdditionSimplification generator rule. (Contributed by Stanislas Polu, 7-Apr-2020)

	Ref	Expression
Hypotheses	int-addsimpd.1	|- ( ph -> A e. RR )
	int-addsimpd.2	|- ( ph -> A = B )
Assertion	int-addsimpd	|- ( ph -> 0 = ( A - B ) )

Proof

Step	Hyp	Ref	Expression
1		int-addsimpd.1	|- ( ph -> A e. RR )
2		int-addsimpd.2	|- ( ph -> A = B )
3	1	recnd	|- ( ph -> A e. CC )
4	3 2	subeq0bd	|- ( ph -> ( A - B ) = 0 )
5	4	eqcomd	|- ( ph -> 0 = ( A - B ) )