MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  tbw-ax3 Unicode version

Theorem tbw-ax3 1457
Description: The third of four axioms in the Tarski-Bernays-Wajsberg system. (Contributed by Anthony Hart, 13-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
tbw-ax3  |-  ( ( ( ph  ->  ps )  ->  ph )  ->  ph )

Proof of Theorem tbw-ax3
StepHypRef Expression
1 peirce 172 1  |-  ( ( ( ph  ->  ps )  ->  ph )  ->  ph )
Colors of variables: wff set class
Syntax hints:    -> wi 4
This theorem is referenced by:  tbwlem1  1460  tbwlem3  1462  re1luk2  1466
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
  Copyright terms: Public domain W3C validator