recognition /
Philosophy /
Philosophy.ProbabilityMeaningStructure /
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)
102 theorem probability_from_projection (obs : Observer) :
103 ∃ x y : ℝ, x ≠ y ∧ project obs x = project obs y :=
proof body
Term-mode proof.
104 projection_lossy obs
105
106 /-- **Theorem (Each fiber is nonempty)**:
107 Every possible outcome has at least one underlying state that produces it. -/
depends on (14)
Lean names referenced from this declaration's body.
has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
Observer
in IndisputableMonolith.Foundation.Determinism
decl_use
project
in IndisputableMonolith.Foundation.Determinism
decl_use
projection_lossy
in IndisputableMonolith.Foundation.Determinism
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
Observer
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
that
in IndisputableMonolith.NumberTheory.PhiLadderLattice
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use