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Theorem 3mix1d 1228
Description: Deduction introducing triple disjunction. (Contributed by Scott Fenton, 8-Jun-2011.)
Hypothesis
Ref Expression
3mixd.1 (𝜑𝜓)
Assertion
Ref Expression
3mix1d (𝜑 → (𝜓𝜒𝜃))

Proof of Theorem 3mix1d
StepHypRef Expression
1 3mixd.1 . 2 (𝜑𝜓)
2 3mix1 1222 . 2 (𝜓 → (𝜓𝜒𝜃))
31, 2syl 17 1 (𝜑 → (𝜓𝜒𝜃))
Colors of variables: wff setvar class
Syntax hints:  wi 4  w3o 1029
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 195  df-or 383  df-3or 1031
This theorem is referenced by:  f1dom3fv3dif  6402  f1dom3el3dif  6403  elfiun  8196  lcmfunsnlem2lem2  15138  estrreslem2  16549  ostth  25072  btwncolg1  25195  hlln  25247  btwnlng1  25259  sltsolem1  30860  nodense  30881  colineartriv1  31137  fnwe2lem3  36423  prinfzo0  40169
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