Users' Mathboxes Mathbox for BJ < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  bj-curry Structured version   Visualization version   GIF version

Theorem bj-curry 31518
Description: A non-intuitionistic positive statement, sometimes called a paradox of material implication. Sometimes called Curry's axiom. (Contributed by BJ, 4-Apr-2021.)
Assertion
Ref Expression
bj-curry (𝜑 ∨ (𝜑𝜓))

Proof of Theorem bj-curry
StepHypRef Expression
1 pm2.21 118 . 2 𝜑 → (𝜑𝜓))
21orri 389 1 (𝜑 ∨ (𝜑𝜓))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wo 381
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 195  df-or 383
This theorem is referenced by:  bj-peirce  31519
  Copyright terms: Public domain W3C validator