Theorem bj-fal 34678

Description: Shortening of fal 1553 using bj-mt2bi 34676. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Mel L. O'Cat, 11-Mar-2012.) (Proof modification is discouraged.)

Assertion

Ref	Expression
bj-fal	⊢ ¬ ⊥

Proof of Theorem bj-fal

Step	Hyp	Ref	Expression
1		tru 1543	. 2 ⊢ ⊤
2		df-fal 1552	. 2 ⊢ (⊥ ↔ ¬ ⊤)
3	1, 2	bj-mt2bi 34676	1 ⊢ ¬ ⊥

Syntax hints:  ¬ wn 3  ⊤wtru 1540  ⊥wfal 1551

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 206  df-tru 1542  df-fal 1552

This theorem is referenced by: (None)