Theorem pm2.24d 105

Description: Deduction version of pm2.21 76.

Hypothesis

Ref	Expression
pm2.24d.1	|- (ph -> ps)

Assertion

Ref	Expression
pm2.24d	|- (ph -> (-. ps -> ch))

Proof of Theorem pm2.24d

Step	Hyp	Ref	Expression
1		pm2.24d.1	. . 3 |- (ph -> ps)
2	1	a1d 12	. 2 |- (ph -> (-. ch -> ps))
3	2	con1d 93	1 |- (ph -> (-. ps -> ch))

Syntax hints:  -. wn 2   -> wi 3

This theorem is referenced by:  xpexr 3471  abianfp 3953  xrlttrit 5533  zeot 6154  elfzlem 6413  irred 10258  cdrci 10417

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7

Copyright terms: Public domain