Metamath Proof Explorer


Theorem notfal

Description: A -. identity. (Contributed by Anthony Hart, 22-Oct-2010) (Proof shortened by Andrew Salmon, 13-May-2011)

Ref Expression
Assertion notfal ⊢ ¬ ⊥ ↔ ⊤

Proof

Step Hyp Ref Expression
1 fal ⊢ ¬ ⊥
2 1 bitru ⊢ ¬ ⊥ ↔ ⊤