def
definition
def or abbrev
RealizedDefectAnnularCostBounded
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view Lean formalization →
formal statement (Lean)
118def RealizedDefectAnnularCostBounded (fam : DefectSampledFamily) : Prop :=
proof body
Definition body.
119 ∃ K : ℝ, ∀ N : ℕ, annularCost (fam.mesh N) ≤ K
120
121/-- The annular excess of a realized sampled family is bounded independently of
122mesh refinement. This is the quantitatively plausible part of the defect-cost
123story: after removing the topological floor, only the regular remainder should
124need analytic control. -/
used by (14)
-
charge_zero_of_honest_phase_of_costBridge -
HonestPhaseCostBridge -
honestPhase_routeC_bottleneck -
carrier_cost_bounded_of_shared_pair -
carrier_defect_comparison_rh -
defect_cost_unbounded_of_shared_pair -
not_realizedDefectAnnularCostBounded -
realizedDefectAnnularExcessBounded_of_costBounded -
realizedDefectCostBounded_iff_charge_zero_and_excessBounded -
realizedDefectCostBounded_of_charge_zero_and_excessBounded -
defect_bounded_impossible -
HonestPhaseAdmissible -
honestPhaseFamily_charge_zero_of_costBounded -
honestPhaseFamily_cost_bounded_iff_charge_zero