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theorem

hierarchy_forced_gives_phi

proved
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module
IndisputableMonolith.Foundation.HierarchyForcing
domain
Foundation
line
141 · github
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IndisputableMonolith.Foundation.HierarchyForcing on GitHub at line 141.

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formal source

 138      field_simp; linarith }
 139
 140/-- The forced hierarchy yields σ = φ. -/
 141theorem hierarchy_forced_gives_phi
 142    (M : NontrivialMultilevelComposition)
 143    (no_free_scale : ∀ j k,
 144      M.levels (j + 1) / M.levels j = M.levels (k + 1) / M.levels k)
 145    (ratio_gt_one : 1 < M.levels 1 / M.levels 0)
 146    (additive : M.levels 2 = M.levels 1 + M.levels 0) :
 147    (hierarchy_forced M no_free_scale ratio_gt_one).ratio = PhiForcing.φ :=
 148  hierarchy_emergence_forces_phi
 149    (hierarchy_forced M no_free_scale ratio_gt_one)
 150    additive
 151
 152end HierarchyForcing
 153end Foundation
 154end IndisputableMonolith