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	⊢ (¬ 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 146	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  883  niabn  1035  ax13dgen1  2180  snopeqop  5160  prm23ge5  15737  pmtrdifellem4  18100  usgredg2v  26334  frgr3vlem1  27448  frgr3vlem2  27449  3vfriswmgrlem  27452  negsym1  32733