OAI/Analysis/CircleDomains/Modulus/RetaggedCost.lean
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.
- def
OAI.CircleDomainRigidity.nonTupleCostline 23 - theorem
OAI.CircleDomainRigidity.pathCostIntegral_sparseline 28 - theorem
OAI.CircleDomainRigidity.exists_endpointCode_small_tupleline 37 - def
OAI.CircleDomainRigidity.CostAdmissibleline 55Source 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
- theorem
OAI.CircleDomainRigidity.nonTupleCost_ge_one_of_admissibleline 60