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Theorem olcs 384
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 378 . 2 ((ψ φ) → χ)
32orcs 383 1 (ψχ)
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: (None)
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