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Theorem simplr2 958
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 922 . 2 ((𝜃 ∧ (𝜑𝜓𝜒)) → 𝜓)
21adantr 265 1 (((𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜏) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 101  w3a 896
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105
This theorem depends on definitions:  df-bi 114  df-3an 898
This theorem is referenced by:  prarloclemlt  6649  prarloclemlo  6650  resqrexlemdecn  9839
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