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Theorem pm2.24i 153
Description: Inference associated with pm2.24 124. Its associated inference is pm2.24ii 120. (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 149 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  862  niabn  1018  ax13dgen1  2142  snopeqop  5369  prm23ge5  16129  pmtrdifellem4  18586  2irrexpq  25300  usgredg2v  26996  frgr3vlem1  28037  frgr3vlem2  28038  3vfriswmgrlem  28041  negsym1  33773  wl-moteq  34805  nnn1suc  39297  euoreqb  43488  line2ylem  44976
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