Theorem orcanai 515

Description: Change disjunction in consequent to conjunction in antecedent.

Hypothesis

Ref	Expression
orcanai.1	|- (ph -> (ps \/ ch))

Assertion

Ref	Expression
orcanai	|- ((ph /\ -. ps) -> ch)

Proof of Theorem orcanai

Step	Hyp	Ref	Expression
1		orcanai.1	. . 3 |- (ph -> (ps \/ ch))
2	1	ord 202	. 2 |- (ph -> (-. ps -> ch))
3	2	imp 277	1 |- ((ph /\ -. ps) -> ch)

Syntax hints:  -. wn 1   -> wi 2   \/ wo 195   /\ wa 196

This theorem is referenced by:  dflim3 2368  bren2 3293  php 3409

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

This theorem depends on definitions:  df-bi 128  df-or 197  df-an 198

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