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Theorem simplr2 984
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simplr2 (((𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜏) → 𝜓)

Proof of Theorem simplr2
StepHypRef Expression
1 simpr2 948 . 2 ((𝜃 ∧ (𝜑𝜓𝜒)) → 𝜓)
21adantr 270 1 (((𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜏) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 102  w3a 922
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 924
This theorem is referenced by:  prarloclemlt  6996  prarloclemlo  6997  iseqf1oleml  9837  resqrexlemdecn  10341
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