def
definition
M
show as:
view math explainer →
open explainer
Generate a durable explainer page for this declaration.
open lean source
IndisputableMonolith.Recognition on GitHub at line 101.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
-
RecognitionStructure -
U -
RecognitionStructure -
recog -
RecognitionStructure -
U -
M -
RecognitionStructure -
RecognitionStructure
used by
-
defectDist_le_J_of_ratio_bounds -
defectDist_nonneg -
defectDist_quasi_triangle_local -
J_le_J_of_inv_le_le -
quasiTriangleConstant_eq -
AllConstantsDerived -
H_RSZeroParameterStatus -
H_ThreeStrategiesAgree -
J_bit -
ml_derivation_falsifiable -
ml_derived -
ml_in_observed_range -
ml_summary -
phi_bounds -
rs_zero_parameter_status -
all_ml_on_phi_ladder -
luminosity_tier_local -
ml_from_phi_tier_structure -
ml_matches_stellar_observations -
of -
population_tiers -
tier_difference_value -
tiers_are_quantized -
agrees_with_nucleosynthesis -
agrees_with_stellar_assembly -
imf_from_j_minimization -
ml_from_geometry_only -
ml_geometric_is_phi -
ml_zero_parameter_certificate -
OptimalConfig -
optimal_ratio_is_phi_power -
characteristic_tier_scaffold -
effective_tier -
H_StellarML -
ml_from_cost_diff -
ml_is_phi_power -
ml_is_phi_power' -
ml_stellar -
ml_stellar_value -
StellarConfig
formal source
98/-- Recognition relation by structural equality -/
99def recog : U → U → Prop := fun x y => x = y
100
101def M : RecognitionStructure := { U := U, R := recog }
102
103def L : Ledger M := { debit := fun _ => 1, credit := fun _ => 1 }
104
105def twoStep : Chain M :=
106 { n := 1
107 , f := fun _ => ⟨()⟩
108 , ok := by intro i; trivial }
109
110example : chainFlux L twoStep = 0 := by
111 have hbal : ∀ u, L.debit u = L.credit u := by intro _; rfl
112 simpa [chainFlux_zero_of_balanced (M:=M) L twoStep hbal]
113
114end Demo
115
116-- Moved advanced Recognition sections (ClassicalBridge, Potential uniqueness) to Recognition/WIP.lean during modularization.