PE Home bfol.mm Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  PE Home  >  Th. List  >  false-P3.45

Theorem false-P3.45 353
Description: '' is refutable.
Assertion
Ref Expression
false-P3.45 ¬ ⊥

Proof of Theorem false-P3.45
StepHypRef Expression
1 rcp-NDASM1of1 192 . 2 (⊥ → ⊥)
21ndfalsee-P3.20 185 1 ¬ ⊥
Colors of variables: wff objvar term class
Syntax hints:  ¬ wff-neg 9  wff-false 157
This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14
This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-true-D2.4 155  df-false-D2.5 158
This theorem is referenced by:  dffalse-P3.49-L1  363  truthtblnegf-P4.35b  494
  Copyright terms: Public domain W3C validator