recognition /
Modal /
Modal.ModalGeometry /
explainer
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formal statement (Lean)
227 def standard_modal_manifold : ModalManifold where
228 points := {c : Config | 0 < c.value}
proof body
Definition body.
229 dimension := 2
230 metric := modal_distance
231 curvature := possibility_curvature
232
233 /-- **MODAL COMPLETENESS**: Every point can reach identity.
234
235 The modal manifold is "geodesically complete" in the sense that
236 every configuration has a finite-cost path to the attractor. -/
depends on (18)
Lean names referenced from this declaration's body.
complete
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
identity
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
Config
in IndisputableMonolith.Gravity.ILG
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
modal_distance
in IndisputableMonolith.Modal.ModalGeometry
decl_use
ModalManifold
in IndisputableMonolith.Modal.ModalGeometry
decl_use
possibility_curvature
in IndisputableMonolith.Modal.ModalGeometry
decl_use
Config
in IndisputableMonolith.Modal.Possibility
decl_use
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
value
in IndisputableMonolith.QFT.SpinStatistics
decl_use
identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use