ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  pm2.62 GIF version

Theorem pm2.62 700
Description: Theorem *2.62 of [WhiteheadRussell] p. 107. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 13-Dec-2013.)
Assertion
Ref Expression
pm2.62 ((𝜑𝜓) → ((𝜑𝜓) → 𝜓))

Proof of Theorem pm2.62
StepHypRef Expression
1 pm2.621 699 . 2 ((𝜑𝜓) → ((𝜑𝜓) → 𝜓))
21com12 30 1 ((𝜑𝜓) → ((𝜑𝜓) → 𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 662
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115
This theorem is referenced by:  dfor2dc  828
  Copyright terms: Public domain W3C validator