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Theorem abcdtd 39744
Description: Given (((a and b) and c) and d), there exists a proof for d. (Contributed by Jarvin Udandy, 3-Sep-2016.)
Ref Expression
abcdtd.1 (((𝜑𝜓) ∧ 𝜒) ∧ 𝜃)
Ref Expression
abcdtd 𝜃

Proof of Theorem abcdtd
StepHypRef Expression
1 abcdtd.1 . 2 (((𝜑𝜓) ∧ 𝜒) ∧ 𝜃)
21simpri 477 1 𝜃
Colors of variables: wff setvar class
Syntax hints:  wa 383
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  df-an 385
This theorem is referenced by: (None)
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