ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  pm2.42 GIF version

Theorem pm2.42 704
Description: Theorem *2.42 of [WhiteheadRussell] p. 106. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.42 ((¬ 𝜑 ∨ (𝜑𝜓)) → (𝜑𝜓))

Proof of Theorem pm2.42
StepHypRef Expression
1 pm2.21 557 . 2 𝜑 → (𝜑𝜓))
2 id 19 . 2 ((𝜑𝜓) → (𝜑𝜓))
31, 2jaoi 646 1 ((¬ 𝜑 ∨ (𝜑𝜓)) → (𝜑𝜓))
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4  wo 639
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-in2 555  ax-io 640
This theorem depends on definitions:  df-bi 114
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator