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