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Theorem pm2.24i 147
Description: Inference associated with pm2.24 122. Its associated inference is pm2.24ii 118. (Contributed by NM, 20-Aug-2001.)
Hypothesis
Ref Expression
pm2.24i.1 𝜑
Assertion
Ref Expression
pm2.24i 𝜑𝜓)

Proof of Theorem pm2.24i
StepHypRef Expression
1 pm2.24i.1 . . 3 𝜑
21a1i 11 . 2 𝜓𝜑)
32con1i 146 1 𝜑𝜓)
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:  orci  883  niabn  1035  ax13dgen1  2180  snopeqop  5160  prm23ge5  15737  pmtrdifellem4  18100  usgredg2v  26334  frgr3vlem1  27448  frgr3vlem2  27449  3vfriswmgrlem  27452  negsym1  32733
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