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Foundation /
Foundation.ModularLogicRealization /
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formal statement (Lean)
100 noncomputable def modular_arithmetic_invariant (k : ℕ) (R : LogicRealization.{0, 0}) :
101 (UniversalForcing.arithmeticOf (modularRealization k)).peano.carrier
102 ≃ (UniversalForcing.arithmeticOf R).peano.carrier :=
proof body
Definition body.
103 ArithmeticOf.equivOfInitial
104 (UniversalForcing.arithmeticOf (modularRealization k))
105 (UniversalForcing.arithmeticOf R)
106
107 /-- The modular interpretation is periodic on the carrier. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (13)
Lean names referenced from this declaration's body.
carrier
in IndisputableMonolith.Engineering.CorticalNeuromodulationDevice
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carrier
in IndisputableMonolith.Engineering.PhantomCoupledGWAntennaSensitivity
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ArithmeticOf
in IndisputableMonolith.Foundation.ArithmeticOf
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equivOfInitial
in IndisputableMonolith.Foundation.ArithmeticOf
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LogicRealization
in IndisputableMonolith.Foundation.LogicRealization
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modularRealization
in IndisputableMonolith.Foundation.ModularLogicRealization
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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arithmeticOf
in IndisputableMonolith.Foundation.UniversalForcing
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modular_arithmetic_invariant
in IndisputableMonolith.Foundation.UniversalForcing.ModularRealization
decl_use
modularRealization
in IndisputableMonolith.Foundation.UniversalForcing.ModularRealization
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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