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Theorem pm2.24 559
Description: Theorem *2.24 of [WhiteheadRussell] p. 104. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.24 (𝜑 → (¬ 𝜑𝜓))

Proof of Theorem pm2.24
StepHypRef Expression
1 pm2.21 555 . 2 𝜑 → (𝜑𝜓))
21com12 30 1 (𝜑 → (¬ 𝜑𝜓))
Colors of variables: wff set class
Syntax hints:  ¬ wn 3  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-in2 553
This theorem is referenced by:  pm2.24d  560  pm2.53  649  pm2.82  734  pm4.81dc  823  dedlema  885  alexim  1550  eqneqall  2228  sotritric  4086  ltxrlt  7114  zltnle  8318  elfzonlteqm1  9138  qltnle  9173
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