Metamath Proof Explorer


Theorem ifpbiidcor2

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

Ref Expression
Assertion ifpbiidcor2 ¬ if- φ ¬ φ φ

Proof

Step Hyp Ref Expression
1 ifpbiidcor if- φ φ ¬ φ
2 ifpnot23b ¬ if- φ ¬ φ φ if- φ φ ¬ φ
3 1 2 mpbir ¬ if- φ ¬ φ φ