Users' Mathboxes Mathbox for Mykola Mostovenko < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >   Mathboxes  >  ax1hfs Unicode version

Theorem ax1hfs 14103
Description: Heyting's formal system Axiom #1 from [Heyting] p. 127. (Contributed by MM, 11-Aug-2018.)
Assertion
Ref Expression
ax1hfs  |-  ( ph  ->  ( ph  /\  ph ) )

Proof of Theorem ax1hfs
StepHypRef Expression
1 ax-ia3 107 . 2  |-  ( ph  ->  ( ph  ->  ( ph  /\  ph ) ) )
21pm2.43i 49 1  |-  ( ph  ->  ( ph  /\  ph ) )
Colors of variables: wff set class
Syntax hints:    -> wi 4    /\ wa 103
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 107
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator