ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  falimtru GIF version

Theorem falimtru 1374
Description: A identity. (Contributed by Anthony Hart, 22-Oct-2010.)
Assertion
Ref Expression
falimtru ((⊥ → ⊤) ↔ ⊤)

Proof of Theorem falimtru
StepHypRef Expression
1 falim 1330 . 2 (⊥ → ⊤)
21bitru 1328 1 ((⊥ → ⊤) ↔ ⊤)
Colors of variables: wff set class
Syntax hints:  wi 4  wb 104  wtru 1317  wfal 1321
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-in1 588  ax-in2 589
This theorem depends on definitions:  df-bi 116  df-tru 1319  df-fal 1322
This theorem is referenced by:  trubifal  1379
  Copyright terms: Public domain W3C validator