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Theorem pm2.27 35
Description: This theorem, called "Assertion," can be thought of as closed form of modus ponens ax-mp 7. Theorem *2.27 of [WhiteheadRussell] p. 104. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
pm2.27 (𝜑 → ((𝜑𝜓) → 𝜓))

Proof of Theorem pm2.27
StepHypRef Expression
1 id 19 . 2 ((𝜑𝜓) → (𝜑𝜓))
21com12 27 1 (𝜑 → ((𝜑𝜓) → 𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7
This theorem is referenced by:  pm2.43  47  com23  72  biimt  230  pm3.35  329  pm3.2im  566  mth8  579  pm2.65  585  condc  749  annimim  782  pm2.26dc  813  ax10o  1603  issref  4707  acexmidlem2  5509  findcard2  6346  findcard2s  6347  bj-inf2vnlem1  10095  bj-findis  10104
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