recognition /
Modal /
Modal.ModalGeometry /
explainer
No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
78 def PossibilityBall (c : Config) (r : ℝ) : Set Config :=
proof body
Definition body.
79 {y : Config | modal_distance c y ≤ r}
80
81 /-- Identity is in every sufficiently large possibility ball.
82
83 **Note**: The radius r must be large enough to contain the path from c to identity.
84 For r > modal_distance(c, identity), the identity is guaranteed to be in the ball. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (12)
Lean names referenced from this declaration's body.
radius
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
Identity
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation
decl_use
identity
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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
Config
in IndisputableMonolith.Modal.Possibility
decl_use
identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use