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formal statement (Lean)
151theorem self_similar_forces_golden_constraint (S : SelfSimilar) :
152 satisfies_golden_constraint S.ratio := by
proof body
Term-mode proof.
153 rcases S.scale_invariant with ⟨G, hratio, hclosed⟩
154 unfold satisfies_golden_constraint
155 rw [← hratio]
156 exact PhiForcingDerived.closure_forces_golden_equation G hclosed
157
158/-- φ satisfies the golden constraint. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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phi_forced
in IndisputableMonolith.Foundation.PhiForcing
decl_use
depends on (8)
Lean names referenced from this declaration's body.
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G
in IndisputableMonolith.Constants
decl_use
-
G
in IndisputableMonolith.Constants.Codata
decl_use
-
G
in IndisputableMonolith.Cost.FunctionalEquation
decl_use
-
satisfies_golden_constraint
in IndisputableMonolith.Foundation.PhiForcing
decl_use
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SelfSimilar
in IndisputableMonolith.Foundation.PhiForcing
decl_use
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closure_forces_golden_equation
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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G
in IndisputableMonolith.Gravity.JCostInflaton
decl_use
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S
in IndisputableMonolith.Relativity.ILG.Action
decl_use