NFE Home New Foundations Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  NFE Home  >  Th. List  >  pm2.75 GIF version

Theorem pm2.75 822
Description: Theorem *2.75 of [WhiteheadRussell] p. 108. (Contributed by NM, 3-Jan-2005.) (Proof shortened by Wolf Lammen, 4-Jan-2013.)
Assertion
Ref Expression
pm2.75 ((φ ψ) → ((φ (ψχ)) → (φ χ)))

Proof of Theorem pm2.75
StepHypRef Expression
1 pm2.76 821 . 2 ((φ (ψχ)) → ((φ ψ) → (φ χ)))
21com12 27 1 ((φ ψ) → ((φ (ψχ)) → (φ χ)))
Colors of variables: wff setvar class
Syntax hints:  wi 4   wo 357
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8
This theorem depends on definitions:  df-bi 177  df-or 359
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator