def
definition
H_StableIffPhiLadder
show as:
view math explainer →
open explainer
Read the cached plain-language explainer.
open lean source
IndisputableMonolith.Foundation.PhiEmergence on GitHub at line 211.
browse module
All declarations in this module, on Recognition.
explainer page
depends on
formal source
208
209 This is the core claim that self-similar J-cost minimization
210 forces discrete quantization at φ^n. -/
211def H_StableIffPhiLadder : Prop :=
212 ∀ x : ℝ, x > 0 → (IsStablePosition x ↔ x ∈ PhiLadder)
213
214/-! ## Summary -/
215
216#check IsSelfSimilar
217#check phi_is_self_similar
218#check phi_unique_positive
219#check PhiLadder
220#check phi_ladder_ratio
221#check J_at_phi
222#check H_ThresholdFromPhi
223#check H_StableIffPhiLadder
224
225end PhiEmergence
226end Foundation
227end IndisputableMonolith