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Theorem simplr2 1040
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 1004 . 2 ((𝜃 ∧ (𝜑𝜓𝜒)) → 𝜓)
21adantr 276 1 (((𝜃 ∧ (𝜑𝜓𝜒)) ∧ 𝜏) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 104  w3a 978
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108
This theorem depends on definitions:  df-bi 117  df-3an 980
This theorem is referenced by:  prarloclemlt  7489  prarloclemlo  7490  seq3f1oleml  10498  resqrexlemdecn  11014  pcdvdstr  12318  ennnfoneleminc  12404  grprcan  12842  mulgnn0dir  12944  restopnb  13552  cnptopresti  13609  blsscls2  13864
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