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Theorem orci 649
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 (φ ψ)

Proof of Theorem orci
StepHypRef Expression
1 orci.1 . 2 φ
2 orc 632 . 2 (φ → (φ ψ))
31, 2ax-mp 7 1 (φ ψ)
Colors of variables: wff set class
Syntax hints:   wo 628
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-io 629
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  truorfal  1294  prid1g  3465  onsucelsucexmidlem1  4213  regexmidlemm  4217  nn0suc  4270  nndceq0  4282  0elnn  4283  acexmidlem2  5452  indpi  6326  nn1gt1  7688  nneoor  8076  mnfltpnf  8436
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