OAI/NumberTheory/CubicMoment/Theta/CubicThetaSectionDifferential.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Differentiate the actual cubic automorphy law. Its unit multiplier and the conformal tangent map imply invariance of hyperbolic energy.

  1. def OAI.CubicFirstMoment.cubicThetaSectionFunction line 13
  2. lemma OAI.CubicFirstMoment.cubicThetaSectionFunction_apply line 16
  3. lemma OAI.CubicFirstMoment.cubicThetaSectionFunction_differentiable line 25
  4. def OAI.CubicFirstMoment.cubicThetaSectionDifferential line 30
  5. lemma OAI.CubicFirstMoment.cubicThetaSectionFunction_automorphy line 35
  6. lemma OAI.CubicFirstMoment.cubicThetaSectionDifferential_automorphy line 42
  7. def OAI.CubicFirstMoment.cubicThetaSectionEnergy line 66
  8. lemma OAI.CubicFirstMoment.cubicThetaSectionEnergy_invariant line 69