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	⊢ (¬ 𝜑 → 𝜓)

Proof of Theorem pm2.24i

Step	Hyp	Ref	Expression
1		pm2.24i.1	. . 3 ⊢ 𝜑
2	1	a1i 11	. 2 ⊢ (¬ 𝜓 → 𝜑)
3	2	con1i 149	1 ⊢ (¬ 𝜑 → 𝜓)

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  2138  snopeqop  5361  prm23ge5  16142  pmtrdifellem4  18599  2irrexpq  25321  usgredg2v  27017  frgr3vlem1  28058  frgr3vlem2  28059  3vfriswmgrlem  28062  negsym1  33878  wl-moteq  34919  nnn1suc  39467  euoreqb  43665  line2ylem  45165