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Theorem simprl2 1045
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simprl2 ((𝜏 ∧ ((𝜑𝜓𝜒) ∧ 𝜃)) → 𝜓)

Proof of Theorem simprl2
StepHypRef Expression
1 simpl2 1003 . 2 (((𝜑𝜓𝜒) ∧ 𝜃) → 𝜓)
21adantl 277 1 ((𝜏 ∧ ((𝜑𝜓𝜒) ∧ 𝜃)) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 104  w3a 980
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108
This theorem depends on definitions:  df-bi 117  df-3an 982
This theorem is referenced by:  prarloc  7531  icodiamlt  11220  summodc  11422  prodmodc  11617
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