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formal statement (Lean)
61theorem r_down_values : r_down "d" = 4 ∧ r_down "s" = 15 ∧ r_down "b" = 21 := by
proof body
Term-mode proof.
62 simp only [r_down, tau, Anchor.E_passive, Anchor.W, passive_field_edges,
63 cube_edges, active_edges_per_tick, D, wallpaper_groups]
64 omega
65
66/-! ## Sector Parameter Verification
67
68The up-quark sector has B_pow = -1, r0 = 35.
69Effective exponent: -5 + 35 + r = 30 + r.
70Scale: 2^(-1) / 10^6 = 1 / (2 × 10^6).
71
72The down-quark sector has B_pow = 23, r0 = -5.
73Effective exponent: -5 + (-5) + r = -10 + r.
74Scale: 2^23 / 10^6 = 8388608 / 10^6. -/
75
depends on (20)
Lean names referenced from this declaration's body.
-
active_edges_per_tick
in IndisputableMonolith.Constants.AlphaDerivation
decl_use
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cube_edges
in IndisputableMonolith.Constants.AlphaDerivation
decl_use
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passive_field_edges
in IndisputableMonolith.Constants.AlphaDerivation
decl_use
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wallpaper_groups
in IndisputableMonolith.Constants.AlphaDerivation
decl_use
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wallpaper_groups
in IndisputableMonolith.Constants.AlphaHigherOrder
decl_use
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has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
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B_pow
in IndisputableMonolith.Masses.Anchor
decl_use
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E_passive
in IndisputableMonolith.Masses.Anchor
decl_use
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r0
in IndisputableMonolith.Masses.Anchor
decl_use
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r_down
in IndisputableMonolith.Masses.Anchor
decl_use
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Sector
in IndisputableMonolith.Masses.Anchor
decl_use
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tau
in IndisputableMonolith.Masses.Anchor
decl_use
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W
in IndisputableMonolith.Masses.Anchor
decl_use
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r_down
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
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Sector
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
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Sector
in IndisputableMonolith.Masses.RungConstructor.Basic
decl_use
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W
in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation
decl_use
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E_passive
in IndisputableMonolith.Physics.MassTopology
decl_use
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W
in IndisputableMonolith.Physics.MassTopology
decl_use
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Sector
in IndisputableMonolith.RSBridge.Anchor
decl_use