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Theorem bitr3 341
Description: Closed nested implication form of bitr3i 266. Derived automatically from bitr3VD 39398. (Contributed by Alan Sare, 31-Dec-2011.)
Assertion
Ref Expression
bitr3 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))

Proof of Theorem bitr3
StepHypRef Expression
1 bibi1 340 . 2 ((𝜑𝜓) → ((𝜑𝜒) ↔ (𝜓𝜒)))
21biimpd 219 1 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 196
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 197
This theorem is referenced by:  sumodd  15158  3orbi123VD  39399  sbc3orgVD  39400  trsbcVD  39427  csbrngVD  39446  e2ebindVD  39462  e2ebindALT  39479
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