def
definition
def or abbrev
project
show as:
view Lean formalization →
formal statement (Lean)
103noncomputable def project (obs : Observer) (x : ℝ) : Fin obs.resolution :=
proof body
Definition body.
104 ⟨(Int.toNat (Int.floor (x * obs.resolution))) % obs.resolution,
105 Nat.mod_lt _ obs.res_pos⟩
106
107/-- **Theorem**: Multiple distinct states map to the same observation.
108 This is the origin of "apparent randomness." -/
used by (20)
-
hasDerivAt_extendByZero_apply -
projection_lossy -
gcic_global_phase_unique -
rs_implies_gr -
orientedToRatio -
coprime_order_forces_mock_defect -
bayesian_vindicated -
each_fiber_nonempty -
Fiber -
fibers_cover -
frequentist_vindicated -
higher_resolution_finer_distinctions -
ph006_probability_certificate -
probability_from_projection -
probability_meaning_from_ledger -
probability_meaning_implies_lossy -
prob_is_epistemic -
propensity_vindicated -
structural_mass_bounds -
scheduleVarianceCost_nonneg