Theorem olci 227

Description: Deduction eliminating disjunct.

Hypothesis

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

Assertion

Ref	Expression
olci	|- (ps -> ch)

Proof of Theorem olci

Step	Hyp	Ref	Expression
1		olc 224	. 2 |- (ps -> (ph \/ ps))
2		olci.1	. 2 |- ((ph \/ ps) -> ch)
3	1, 2	syl 12	1 |- (ps -> ch)

Syntax hints:   -> wi 2   \/ wo 195

This theorem is referenced by:  eueq3 1430  sucid 2304

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

metamath.org