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Theorem pm4.61 405
Description: Theorem *4.61 of [WhiteheadRussell] p. 120. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm4.61 (¬ (𝜑𝜓) ↔ (𝜑 ∧ ¬ 𝜓))

Proof of Theorem pm4.61
StepHypRef Expression
1 annim 404 . 2 ((𝜑 ∧ ¬ 𝜓) ↔ ¬ (𝜑𝜓))
21bicomi 225 1 (¬ (𝜑𝜓) ↔ (𝜑 ∧ ¬ 𝜓))
Colors of variables: wff setvar class
Syntax hints:  ¬ wn 3  wi 4  wb 207  wa 396
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 208  df-an 397
This theorem is referenced by:  pm4.65  406  npss  4084  difin  4235  2nreu  4389  isf32lem2  9764  nmo  30181  hashxpe  30455  bnj1253  32186  fphpd  39291  clsk1independent  40274  nabctnabc  43044  islindeps  44436
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