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Theorem naim1i 33727
Description: Constructor rule for . (Contributed by Anthony Hart, 2-Sep-2011.)
Hypotheses
Ref Expression
naim1i.1 (𝜑𝜓)
naim1i.2 (𝜓𝜒)
Assertion
Ref Expression
naim1i (𝜑𝜒)

Proof of Theorem naim1i
StepHypRef Expression
1 naim1i.1 . 2 (𝜑𝜓)
2 naim1i.2 . 2 (𝜓𝜒)
3 naim1 33725 . 2 ((𝜑𝜓) → ((𝜓𝜒) → (𝜑𝜒)))
41, 2, 3mp2 9 1 (𝜑𝜒)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wnan 1477
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 209  df-an 399  df-or 844  df-nan 1478
This theorem is referenced by:  naim12i  33729
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