OAI/Analysis/CircleDomains/Modulus/FixedCapacityCutoffs.lean

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8 declarations, 0 contain sorry, 0 declared as axioms

Fixed smooth cutoffs for the scalar graph-capacity argument. Their bounds are independent of the function, graph point, and chosen scale.

  1. def OAI.CircleDomainRigidity.scalarCapacityBump line 14
  2. def OAI.CircleDomainRigidity.spatialCapacityBump line 15
  3. lemma OAI.CircleDomainRigidity.euclideanPlane_norm_le_two_of_coordinate_unit line 17
  4. lemma OAI.CircleDomainRigidity.scalarCapacityBump_one line 31
  5. lemma OAI.CircleDomainRigidity.spatialCapacityBump_one line 35
  6. lemma OAI.CircleDomainRigidity.scalarCapacityBump_zero line 41
  7. lemma OAI.CircleDomainRigidity.spatialCapacityBump_zero line 49
  8. lemma OAI.CircleDomainRigidity.exists_capacity_cutoff_derivative_bound line 57