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Theorem orim2 763
Description: Axiom *1.6 (Sum) of [WhiteheadRussell] p. 97. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
orim2 ((𝜓𝜒) → ((𝜑𝜓) → (𝜑𝜒)))

Proof of Theorem orim2
StepHypRef Expression
1 id 19 . 2 ((𝜓𝜒) → (𝜓𝜒))
21orim2d 762 1 ((𝜓𝜒) → ((𝜑𝜓) → (𝜑𝜒)))
Colors of variables: wff set class
Syntax hints:  wi 4  wo 682
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 683
This theorem depends on definitions:  df-bi 116
This theorem is referenced by:  pm2.76  782  pm2.81  785
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