Theorem aistbistaandb

Description: Given a is equivalent to T., also given that b is equivalent to T, there exists a proof for (a and b). (Contributed by Jarvin Udandy, 9-Sep-2016)

	Ref	Expression
Hypotheses	aistbistaandb.1	|- ( ph <-> T. )
	aistbistaandb.2	|- ( ps <-> T. )
Assertion	aistbistaandb	|- ( ph /\ ps )

Proof

Step	Hyp	Ref	Expression
1		aistbistaandb.1	|- ( ph <-> T. )
2		aistbistaandb.2	|- ( ps <-> T. )
3	1	aistia	|- ph
4	2	aistia	|- ps
5	3 4	pm3.2i	|- ( ph /\ ps )