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Theorem simpr1r 1039
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpr1r ((𝜏 ∧ ((𝜑𝜓) ∧ 𝜒𝜃)) → 𝜓)

Proof of Theorem simpr1r
StepHypRef Expression
1 simp1r 1006 . 2 (((𝜑𝜓) ∧ 𝜒𝜃) → 𝜓)
21adantl 275 1 ((𝜏 ∧ ((𝜑𝜓) ∧ 𝜒𝜃)) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  w3a 962
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 964
This theorem is referenced by:  prcunqu  7305  prnminu  7309  neitx  12451
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