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Theorem simp3rr 1013
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simp3rr ((𝜃𝜏 ∧ (𝜒 ∧ (𝜑𝜓))) → 𝜓)

Proof of Theorem simp3rr
StepHypRef Expression
1 simprr 499 . 2 ((𝜒 ∧ (𝜑𝜓)) → 𝜓)
213ad2ant3 962 1 ((𝜃𝜏 ∧ (𝜒 ∧ (𝜑𝜓))) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 102  w3a 920
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106
This theorem depends on definitions:  df-bi 115  df-3an 922
This theorem is referenced by:  prarloc  6755
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