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Theorem bj-imbi12 33973
Description: Uncurried (imported) form of imbi12 350. (Contributed by BJ, 6-May-2019.)
Assertion
Ref Expression
bj-imbi12 (((𝜑𝜓) ∧ (𝜒𝜃)) → ((𝜑𝜒) ↔ (𝜓𝜃)))

Proof of Theorem bj-imbi12
StepHypRef Expression
1 imbi12 350 . 2 ((𝜑𝜓) → ((𝜒𝜃) → ((𝜑𝜒) ↔ (𝜓𝜃))))
21imp 410 1 (((𝜑𝜓) ∧ (𝜒𝜃)) → ((𝜑𝜒) ↔ (𝜓𝜃)))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wb 209  wa 399
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 210  df-an 400
This theorem is referenced by: (None)
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