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formal statement (Lean)
119structure CardinalitySpectrumCert where
120 Dspatial_is_3 : Dspatial = 3
121 Dconfig_is_5 : Dconfig = 5
122 gap_as_D : gap45 = Dspatial^2 * Dconfig
123 eightTick_as_D : eightTick = 2 ^ Dspatial
124 cubeFaces_as_D : cubeFaces = twoFace * Dspatial
125 full_turn : (360 : ℕ) = eightTick * gap45
126 choose_central : (70 : ℕ) = Nat.choose 8 4
127 D_cubed : (125 : ℕ) = Dconfig^3
128 D_fifth : (3125 : ℕ) = Dconfig^5
129 spectrum_length : rsSpectrum.length = 20
130 spectrum_pairwise : rsSpectrum.Pairwise (· < ·)
131 spectrum_bounded : ∀ n ∈ rsSpectrum, n ≤ 3125
132
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
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cubeFaces
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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Dconfig
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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Dspatial
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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eightTick
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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rsSpectrum
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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twoFace
in IndisputableMonolith.CrossDomain.CardinalitySpectrum
decl_use
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full_turn
in IndisputableMonolith.CrossDomain.CrossPatternMatrix
decl_use
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cubeFaces
in IndisputableMonolith.CrossDomain.ParadigmShiftLattice
decl_use
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cubeFaces
in IndisputableMonolith.Foundation.FreudenthalTriangulationCert
decl_use