Theorem orcd 272

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 269	. 2 |- (ps -> (ps \/ ch))
3	1, 2	syl 10	1 |- (ph -> (ps \/ ch))

Syntax hints:   -> wi 3   \/ wo 222

This theorem is referenced by:  pm2.47 279  sbc2or 1948  xrlttrit 5525  nnleltp1t 5901  zaddclt 6112  zmulclt 6127  sqrge0 6632  fctop 7592  cctop 7594

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 147  df-or 224

Copyright terms: Public domain