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Theorem 3mix3 1152
Description: Introduction in triple disjunction. (Contributed by NM, 4-Apr-1995.)
Assertion
Ref Expression
3mix3 (𝜑 → (𝜓𝜒𝜑))

Proof of Theorem 3mix3
StepHypRef Expression
1 3mix1 1150 . 2 (𝜑 → (𝜑𝜓𝜒))
2 3orrot 968 . 2 ((𝜑𝜓𝜒) ↔ (𝜓𝜒𝜑))
31, 2sylib 121 1 (𝜑 → (𝜓𝜒𝜑))
Colors of variables: wff set class
Syntax hints:  wi 4  w3o 961
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-io 698
This theorem depends on definitions:  df-bi 116  df-3or 963
This theorem is referenced by:  3mix3i  1155  3mix3d  1158  3jaob  1280  tpid3g  3633  funtpg  5169  nn0le2is012  9126  nn01to3  9402  fztri3or  9812  qbtwnxr  10028  hashfiv01gt1  10521
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