Users' Mathboxes Mathbox for BJ < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  bj-pm2.01i Structured version   Visualization version   GIF version

Theorem bj-pm2.01i 31720
Description: Inference associated with pm2.01 179. (Contributed by BJ, 30-Mar-2020.)
Hypothesis
Ref Expression
bj-pm2.01i.1 (𝜑 → ¬ 𝜑)
Assertion
Ref Expression
bj-pm2.01i ¬ 𝜑

Proof of Theorem bj-pm2.01i
StepHypRef Expression
1 bj-pm2.01i.1 . 2 (𝜑 → ¬ 𝜑)
2 pm2.01 179 . 2 ((𝜑 → ¬ 𝜑) → ¬ 𝜑)
31, 2ax-mp 5 1 ¬ 𝜑
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator