OAI/NumberTheory/CubicMoment/Estimates/PrimeSmoothTransition.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Bounded derivatives of the fixed smooth step, before narrowing the transition in the logarithmic prime cutoff.

  1. def OAI.CubicFirstMoment.primeSmoothStep line 13
  2. lemma OAI.CubicFirstMoment.primeSmoothStep_smooth line 15
  3. lemma OAI.CubicFirstMoment.primeSmoothStep_norm line 18
  4. lemma OAI.CubicFirstMoment.primeSmoothStep_deriv_zero line 22
  5. lemma OAI.CubicFirstMoment.primeSmoothStep_deriv_compact line 38
  6. def OAI.CubicFirstMoment.primeSmoothStepDerivative line 44
  7. lemma OAI.CubicFirstMoment.primeSmoothStep_derivatives_bounded line 47
  8. lemma OAI.CubicFirstMoment.smoothStep_affine_deriv_bound line 61