Theorem ifpbiidcor

Description: Restatement of biid . (Contributed by RP, 25-Apr-2020)

	Ref	Expression
Assertion	ifpbiidcor	$$⊢if-\left(\phi ,\phi ,\neg \phi \right)$$

Proof

Step	Hyp	Ref	Expression
1		biid	$$⊢\phi \leftrightarrow \phi$$
2		ifpdfbi	$$⊢\left(\phi \leftrightarrow \phi \right)\leftrightarrow if-\left(\phi ,\phi ,\neg \phi \right)$$
3	1 2	mpbi	$$⊢if-\left(\phi ,\phi ,\neg \phi \right)$$