Theorem int-add02d

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

	Ref	Expression
Hypotheses	int-add02d.1	|- ( ph -> A e. RR )
	int-add02d.2	|- ( ph -> A = B )
Assertion	int-add02d	|- ( ph -> ( 0 + A ) = B )

Proof

Step	Hyp	Ref	Expression
1		int-add02d.1	|- ( ph -> A e. RR )
2		int-add02d.2	|- ( ph -> A = B )
3	1	recnd	|- ( ph -> A e. CC )
4	3	addid2d	|- ( ph -> ( 0 + A ) = A )
5	4 2	eqtrd	|- ( ph -> ( 0 + A ) = B )