Theorem olcd 280

Description: Deduction introducing a disjunct.

Hypothesis

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

Assertion

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

Proof of Theorem olcd

Step	Hyp	Ref	Expression
1		orcd.1	. 2 |- (ph -> ps)
2		olc 275	. 2 |- (ps -> (ch \/ ps))
3	1, 2	syl 10	1 |- (ph -> (ch \/ ps))

Syntax hints:   -> wi 3   \/ wo 229

This theorem is referenced by:  pm2.48 287  pm2.49 288  xrlttri 5617  msqge0i 5679  rpneg 6125  nnnegz 6220  cctop 7737

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

This theorem depends on definitions:  df-bi 154  df-or 231

Copyright terms: Public domain