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Theorem 3mix3d 1116
Description: Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
Hypothesis
Ref Expression
3mixd.1 (𝜑𝜓)
Assertion
Ref Expression
3mix3d (𝜑 → (𝜒𝜃𝜓))

Proof of Theorem 3mix3d
StepHypRef Expression
1 3mixd.1 . 2 (𝜑𝜓)
2 3mix3 1110 . 2 (𝜓 → (𝜒𝜃𝜓))
31, 2syl 14 1 (𝜑 → (𝜒𝜃𝜓))
Colors of variables: wff set class
Syntax hints:  wi 4  w3o 919
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663
This theorem depends on definitions:  df-bi 115  df-3or 921
This theorem is referenced by:  nnnegz  8435
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