Metamath Proof Explorer


Theorem bj-fal

Description: Shortening of fal using bj-mt2bi . (Contributed by Anthony Hart, 22-Oct-2010) (Proof shortened by Mel L. O'Cat, 11-Mar-2012) (Proof modification is discouraged.)

Ref Expression
Assertion bj-fal ⊢ ¬ ⊥

Proof

Step Hyp Ref Expression
1 df-fal ⊢ ⊥ ↔ ¬ ⊤
2 tru ⊢ ⊤
3 1 2 bj-mt2bi ⊢ ¬ ⊥