OAI/NumberTheory/CubicMoment/Theta/CubicThetaCuspExhaustion.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A fixed finite cusp family gives an explicit smooth exhaustion which is eventually identically one in each quotient neighborhood.

  1. def OAI.CubicFirstMoment.cubicThetaCuspExhaustion line 13
  2. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_smooth line 17
  3. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_compact line 22
  4. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_local_one line 28
  5. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_value_one line 36
  6. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_gradient_agrees line 40
  7. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_value_agrees line 49
  8. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_norm line 58
  9. lemma OAI.CubicFirstMoment.cubicThetaCuspExhaustion_energy line 62