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formal statement (Lean)
180theorem cost_zero_of_consistent (κ : CostFunction Config) (Γ : Config)
181 (h : IsConsistent Γ) : κ.C Γ = 0 :=
proof body
Term-mode proof.
182 (κ.dichotomy Γ).mpr h
183
184/-- Inconsistent configurations have positive cost. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (5)
Lean names referenced from this declaration's body.
-
CostFunction
in IndisputableMonolith.Foundation.CostFromDistinction
decl_use
-
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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Config
in IndisputableMonolith.Gravity.ILG
decl_use
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Config
in IndisputableMonolith.Modal.Possibility
decl_use