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Theorem bitr3 341
Description: Closed nested implication form of bitr3i 265. Derived automatically from bitr3VD 37900. (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 218 1 ((𝜑𝜓) → ((𝜑𝜒) → (𝜓𝜒)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 195
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 196
This theorem is referenced by:  sumodd  14898  3orbi123VD  37901  sbc3orgVD  37902  trsbcVD  37929  csbrngVD  37948  e2ebindVD  37964  e2ebindALT  37981
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