Theorem biancomi

Description: Commuting conjunction in a biconditional. (Contributed by Peter Mazsa, 17-Jun-2018)

	Ref	Expression
Hypothesis	biancomi.1	$$⊢\phi \leftrightarrow \left(\chi \wedge \psi \right)$$
Assertion	biancomi	$$⊢\phi \leftrightarrow \left(\psi \wedge \chi \right)$$

Proof

Step	Hyp	Ref	Expression
1		biancomi.1	$$⊢\phi \leftrightarrow \left(\chi \wedge \psi \right)$$
2		ancom	$$⊢\left(\psi \wedge \chi \right)\leftrightarrow \left(\chi \wedge \psi \right)$$
3	1 2	bitr4i	$$⊢\phi \leftrightarrow \left(\psi \wedge \chi \right)$$