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

Theorem ax1hfs 6356
Description: Heyting's formal system Axiom #1 from [Heyting] p. 127. (Contributed by MM, 11-Aug-2018.)
Assertion
Ref Expression
ax1hfs (φ → (φ φ))

Proof of Theorem ax1hfs
StepHypRef Expression
1 ax-ia3 101 . 2 (φ → (φ → (φ φ)))
21pm2.43i 43 1 (φ → (φ φ))
Colors of variables: wff set class
Syntax hints:  wi 4   wa 97
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia3 101
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator