Theorem pm2.61d1 128

Description: Inference eliminating an antecedent.

Hypotheses

Ref	Expression
pm2.61d1.1	|- (ph -> (ps -> ch))
pm2.61d1.2	|- (-. ps -> ch)

Assertion

Ref	Expression
pm2.61d1	|- (ph -> ch)

Proof of Theorem pm2.61d1

Step	Hyp	Ref	Expression
1		pm2.61d1.1	. 2 |- (ph -> (ps -> ch))
2		pm2.61d1.2	. . 3 |- (-. ps -> ch)
3	2	a1i 8	. 2 |- (ph -> (-. ps -> ch))
4	1, 3	pm2.61d 127	1 |- (ph -> ch)

Syntax hints:  -. wn 2   -> wi 3

This theorem is referenced by:  pm2.61nii 131  ja 137  mosubopt 2793  nlimsucg 3102  funfv 3755  eceqopreq 4297  alephon 4837  uzwo4OLD 6158  ndmioo 6307

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

Copyright terms: Public domain