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Theorem orcd 381
Description: Deduction introducing a disjunct. A translation of natural deduction rule IR ( insertion right), see natded in set.mm. (Contributed by NM, 20-Sep-2007.)
Hypothesis
Ref Expression
orcd.1
Assertion
Ref Expression
orcd

Proof of Theorem orcd
StepHypRef Expression
1 orcd.1 . 2
2 orc 374 . 2
31, 2syl 15 1
Colors of variables: wff setvar class
Syntax hints:   wi 4   wo 357
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 177  df-or 359
This theorem is referenced by:  olcd  382  pm2.47  388  orim12i  502  sbc2or  3054  undif3  3515  nc0le1  6216  dmfrec  6316  frec0  6321
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