Theorem imori 429

Description: Infer disjunction from implication. (Contributed by NM, 12-Mar-2012.)

Hypothesis

Ref	Expression
imori.1	|- ( ph -> ps )

Assertion

Ref	Expression
imori	|- ( -. ph \/ ps )

Proof of Theorem imori

Step	Hyp	Ref	Expression
1		imori.1	. 2 |- ( ph -> ps )
2		imor 428	. 2 |- ( ( ph -> ps ) <-> ( -. ph \/ ps ) )
3	1, 2	mpbi 220	1 |- ( -. ph \/ ps )

Syntax hints:   -. wn 3   -> wi 4   \/ wo 383

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This theorem depends on definitions:  df-bi 197  df-or 385

This theorem is referenced by:  pm2.1  433  pm2.26  927  rb-ax1  1677  numclwwlk3lem  27241  meran1  32410  meran2  32411  meran3  32412  tsim3  33939  tsor2  33955  tsor3  33956  spr0nelg  41726