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Theorem 3mix2i 1226
Description: Introduction in triple disjunction. (Contributed by Mario Carneiro, 6-Oct-2014.)
Hypothesis
Ref Expression
3mixi.1 𝜑
Assertion
Ref Expression
3mix2i (𝜓𝜑𝜒)

Proof of Theorem 3mix2i
StepHypRef Expression
1 3mixi.1 . 2 𝜑
2 3mix2 1223 . 2 (𝜑 → (𝜓𝜑𝜒))
31, 2ax-mp 5 1 (𝜓𝜑𝜒)
Colors of variables: wff setvar class
Syntax hints:  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:  tpid2  4246  ppiublem2  24645  nb3graprlem1  25746  nb3grprlem1  40610  2zrngnring  41744
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