Theorem imorri 430

Description: Infer implication from disjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.)

Hypothesis

Ref	Expression
imorri.1	|- ( -. ph \/ ps )

Assertion

Ref	Expression
imorri	|- ( ph -> ps )

Proof of Theorem imorri

Step	Hyp	Ref	Expression
1		imorri.1	. 2 |- ( -. ph \/ ps )
2		imor 428	. 2 |- ( ( ph -> ps ) <-> ( -. ph \/ ps ) )
3	1, 2	mpbir 221	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:  anmp  1676  meran2  32411  meran3  32412