Theorem orcd 279

Description: Deduction introducing a disjunct.

Hypothesis

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

Assertion

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

Proof of Theorem orcd

Step	Hyp	Ref	Expression
1		orcd.1	. 2 |- (ph -> ps)
2		orc 276	. 2 |- (ps -> (ps \/ ch))
3	1, 2	syl 10	1 |- (ph -> (ps \/ ch))

Syntax hints:   -> wi 3   \/ wo 229

This theorem is referenced by:  pm2.47 286  sbc2or 2008  xrlttri 5617  nnleltp1 6015  zaddcl 6247  zmulcl 6262  sqrge0i 6792  cctop 7737  usinuniop 10703

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