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Theorem simplim 170
Description: Simplification. Similar to Theorem *3.26 (Simp) of [WhiteheadRussell] p. 112. (Contributed by NM, 3-Jan-1993.) (Proof shortened by Wolf Lammen, 21-Jul-2012.)
Assertion
Ref Expression
simplim (¬ (𝜑𝜓) → 𝜑)

Proof of Theorem simplim
StepHypRef Expression
1 pm2.21 123 . 2 𝜑 → (𝜑𝜓))
21con1i 149 1 (¬ (𝜑𝜓) → 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:  pm2.5g  171  pm2.521g2  178  impt  181  peirce  205  biimp  218  imbi12  350  pm4.79  1001  mptbi12f  35597  ac6s6  35603  rp-fakeimass  40207
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