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Theorem simprl3 1011
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simprl3 ((𝜏 ∧ ((𝜑𝜓𝜒) ∧ 𝜃)) → 𝜒)

Proof of Theorem simprl3
StepHypRef Expression
1 simpl3 969 . 2 (((𝜑𝜓𝜒) ∧ 𝜃) → 𝜒)
21adantl 273 1 ((𝜏 ∧ ((𝜑𝜓𝜒) ∧ 𝜃)) → 𝜒)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  w3a 945
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 947
This theorem is referenced by:  prarloc  7275  icodiamlt  10903  summodc  11103
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