structure
definition
def or abbrev
ClosedObservableFramework
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formal statement (Lean)
27structure ClosedObservableFramework where
28 S : Type
29 T : S → S
30 r : S → ℝ
31 r_pos : ∀ s, 0 < r s
32 nontrivial : ∃ s₁ s₂ : S, r s₁ ≠ r s₂
33 S_countable : ∃ (f : ℕ → S), Function.Surjective f
34 no_continuous_moduli : ∀ (embed : ℝ → S), ¬ Function.Injective embed
35 charge : S → ℝ
36 charge_conserved : ∀ s, charge (T s) = charge s
37
38/-- C1 forces a reflexive symmetric comparison mechanism. -/
used by (26)
-
comparison_irrefl -
comparison_symm -
ledger_reconstruction -
bridge_T5_T6_from_realized_closed_scale -
bridge_T5_T6_internal -
bridge_T5_T6_via_posting -
closedFramework_alone_insufficient_for_bridge -
hierarchy_dynamics_forces_phi -
no_moduli_forces_uniform_ratios -
nonuniform_ratios_yield_moduli -
realized_additive_closure -
RealizedHierarchy -
realized_hierarchy_forces_phi -
realized_ratio_eq_base -
realized_to_ladder -
realized_uniform_ratios -
additive_posting_of_realized_closed_scale -
ratio_self_similar_of_realized_closed_scale -
RealizedClosedScaleModel -
realized_closed_scale_ratio_step -
toRealizedHierarchy -
boolFramework -
closedFramework_does_not_force_additive_posting -
closedFramework_does_not_force_ratio_self_similar -
closedFramework_does_not_force_realizedHierarchy_fields -
orbit_not_additive_posting