OAI/NumberTheory/CubicMoment/Theta/CubicThetaQuotientEnergy.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

The genuine differential energy descends to a continuous function on the quotient. Compact smooth sections have compactly supported gradient norm, hence square-integrable gradient.

  1. lemma OAI.CubicFirstMoment.cubicThetaSectionEnergy_continuous line 13
  2. def OAI.CubicFirstMoment.cubicThetaQuotientEnergy line 26
  3. lemma OAI.CubicFirstMoment.cubicThetaQuotientEnergy_apply line 29
  4. lemma OAI.CubicFirstMoment.cubicThetaQuotientEnergy_continuous line 36
  5. lemma OAI.CubicFirstMoment.cubicThetaSectionDifferential_eq_zero line 44
  6. lemma OAI.CubicFirstMoment.cubicThetaQuotientEnergy_compact line 71
  7. def OAI.CubicFirstMoment.cubicThetaQuotientGradientNorm line 84
  8. lemma OAI.CubicFirstMoment.cubicThetaQuotientGradientNorm_memLp line 87