Theorem pm2.24i 150

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 147	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  865  niabn  1022  ax13dgen1  2138  snopeqop  5469  prm23ge5  16793  pmtrdifellem4  19416  2irrexpq  26647  usgredg2v  29161  frgr3vlem1  30209  frgr3vlem2  30210  3vfriswmgrlem  30213  negsym1  36412  wl-moteq  37509  nnn1suc  42261  euoreqb  47114  line2ylem  48744