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Theorem olcs 654
Description: Deduction eliminating disjunct. (Contributed by NM, 21-Jun-1994.) (Proof shortened by Wolf Lammen, 3-Oct-2013.)
Hypothesis
Ref Expression
olcs.1 ((φ ψ) → χ)
Assertion
Ref Expression
olcs (ψχ)

Proof of Theorem olcs
StepHypRef Expression
1 olcs.1 . . 3 ((φ ψ) → χ)
21orcoms 648 . 2 ((ψ φ) → χ)
32orcs 653 1 (ψχ)
Colors of variables: wff set class
Syntax hints:  wi 4   wo 628
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-io 629
This theorem depends on definitions:  df-bi 110
This theorem is referenced by:  equs5or  1708  0nn0  7972  xrlttri3  8488
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