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Theorem orci 660
Description: Deduction introducing a disjunct. (Contributed by NM, 19-Jan-2008.) (Revised by Mario Carneiro, 31-Jan-2015.)
Hypothesis
Ref Expression
orci.1 𝜑
Assertion
Ref Expression
orci (𝜑𝜓)

Proof of Theorem orci
StepHypRef Expression
1 orci.1 . 2 𝜑
2 orc 643 . 2 (𝜑 → (𝜑𝜓))
31, 2ax-mp 7 1 (𝜑𝜓)
Colors of variables: wff set class
Syntax hints:  wo 639
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-io 640
This theorem depends on definitions:  df-bi 114
This theorem is referenced by:  truorfal  1313  prid1g  3502  onsucelsucexmidlem1  4281  regexmidlemm  4285  nn0suc  4355  nndceq0  4367  0elnn  4368  acexmidlem2  5537  indpi  6498  nn1gt1  8023  nneoor  8399  mnfltpnf  8807  bcpasc  9634
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