ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  pm2.73 GIF version

Theorem pm2.73 796
Description: Theorem *2.73 of [WhiteheadRussell] p. 108. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.73 ((𝜑𝜓) → (((𝜑𝜓) ∨ 𝜒) → (𝜓𝜒)))

Proof of Theorem pm2.73
StepHypRef Expression
1 pm2.621 737 . 2 ((𝜑𝜓) → ((𝜑𝜓) → 𝜓))
21orim1d 777 1 ((𝜑𝜓) → (((𝜑𝜓) ∨ 𝜒) → (𝜓𝜒)))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 698
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 699
This theorem depends on definitions:  df-bi 116
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator