OAI/Analysis/CircleDomains/Modulus/RetaggedCost.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

The auxiliary tuple cost can be removed from an admissible metric's lower bound. This is the retagging step in Section 4 of the manuscript.

  1. def OAI.CircleDomainRigidity.nonTupleCost line 23
  2. theorem OAI.CircleDomainRigidity.pathCostIntegral_sparse line 28
  3. theorem OAI.CircleDomainRigidity.exists_endpointCode_small_tuple line 37
  4. def OAI.CircleDomainRigidity.CostAdmissible line 55

    Source documentation

    Admissibility for the finite coding-measure family, with the prescribed residual-image null constraint but without any tuple exclusions.

    def CostAdmissible (d : PathCodeData X Y) (p : D → X) (c : D → ℝ≥0∞)
        (ν : Measure X) (h : PathCostSpace Y D → ℝ≥0∞) : Prop :=
    …

    Mentions: OAI.CircleDomainRigidity.PathCodeData, OAI.CircleDomainRigidity.PathCostSpace

  5. theorem OAI.CircleDomainRigidity.nonTupleCost_ge_one_of_admissible line 60