theorem proved term proof

`t1_cost_barrier`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 123theorem t1_cost_barrier (C : ℝ) :
 124    ∃ ε > 0, ∀ x : ℝ, 0 < x → x < ε →
 125      C < IndisputableMonolith.Foundation.LawOfExistence.defect x :=

proof body

Term-mode proof.

 126  IndisputableMonolith.Foundation.LawOfExistence.nothing_cannot_exist C
 127
 128/-! ## §4. Physically realizable ledgers -/
 129
 130/-- The carrier-compatible radius attached to a sensor: the distance from the
 131sensor location to the critical line `Re(s) = 1/2`. -/

used by (3)

From the project-wide theorem graph. These declarations reference this one in their body.

physicallyRealizableLedger_not_boundaryApproaching in IndisputableMonolith.Unification.UnifiedRH decl_use
realizedDefectCollapseScalar_defect_unbounded in IndisputableMonolith.Unification.UnifiedRH decl_use
unified_rh_cert_of_bridge in IndisputableMonolith.Unification.UnifiedRH decl_use

depends on (7)

Lean names referenced from this declaration's body.

radius in IndisputableMonolith.Complexity.CellularAutomata decl_use
compatible in IndisputableMonolith.Complexity.SAT.Backprop decl_use
carrier in IndisputableMonolith.Engineering.CorticalNeuromodulationDevice decl_use
carrier in IndisputableMonolith.Engineering.PhantomCoupledGWAntennaSensitivity decl_use
defect in IndisputableMonolith.Foundation.LawOfExistence decl_use
nothing_cannot_exist in IndisputableMonolith.Foundation.LawOfExistence decl_use
from in IndisputableMonolith.Foundation.PrimitiveDistinction decl_use