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	$$⊢\phi \leftrightarrow \top$$
	aistbistaandb.2	$$⊢\psi \leftrightarrow \top$$
Assertion	aistbistaandb	$$⊢\left(\phi \wedge \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		aistbistaandb.1	$$⊢\phi \leftrightarrow \top$$
2		aistbistaandb.2	$$⊢\psi \leftrightarrow \top$$
3	1	aistia	$$⊢\phi$$
4	2	aistia	$$⊢\psi$$
5	3 4	pm3.2i	$$⊢\left(\phi \wedge \psi \right)$$