MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  pm1.4 Structured version   Visualization version   GIF version

Theorem pm1.4 870
Description: Axiom *1.4 of [WhiteheadRussell] p. 96. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm1.4 ((𝜑𝜓) → (𝜓𝜑))

Proof of Theorem pm1.4
StepHypRef Expression
1 olc 869 . 2 (𝜑 → (𝜓𝜑))
2 orc 868 . 2 (𝜓 → (𝜓𝜑))
31, 2jaoi 858 1 ((𝜑𝜓) → (𝜓𝜑))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 848
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 207  df-or 849
This theorem is referenced by:  orcom  871  orcoms  873  pm2.3  925  pm2.36  972  pm2.37  973  rb-ax2  1753  prneimg  4854  cnf2dd  38098  orcomdd  38174  rp-fakeanorass  43526  orbi1rVD  44868  itsclc0yqsol  48685
  Copyright terms: Public domain W3C validator