def definition def or abbrev

`linkingNumber`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

 109def linkingNumber (D : ℕ) : ℤ :=

proof body

Definition body.

 110  if D = 3 then 1 else 0
 111
 112/-- **HYPOTHESIS**: Irreducible topological linking requires exactly three spatial dimensions.
 113
 114    STATUS: SCAFFOLD — Connects linking invariants to dimensions.
 115    TODO: Prove that linking number is only invariant in D=3 for 1-spheres.
 116    FALSIFIER: Discovery of a non-trivial linking invariant for 1-spheres in D ≠ 3. -/

used by (5)

From the project-wide theorem graph. These declarations reference this one in their body.

complete_ledger_uniqueness in IndisputableMonolith.Meta.LedgerUniqueness decl_use
cube_uniqueness in IndisputableMonolith.Meta.LedgerUniqueness decl_use
H_LinkingDimensionUniqueness in IndisputableMonolith.Meta.LedgerUniqueness decl_use
Q3_unique_linking_dimension in IndisputableMonolith.Meta.LedgerUniqueness decl_use
rs_ledger_is_unique in IndisputableMonolith.Meta.LedgerUniqueness decl_use

depends on (11)

Lean names referenced from this declaration's body.

of in IndisputableMonolith.Astrophysics.NucleosynthesisTiers decl_use
of in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization decl_use
is in IndisputableMonolith.Foundation.OptionAEmpiricalProgram decl_use
of in IndisputableMonolith.Foundation.PhiForcingDerived decl_use
is in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi decl_use
of in IndisputableMonolith.Foundation.SpectralEmergence decl_use
for in IndisputableMonolith.Foundation.UniversalForcingSelfReference decl_use
is in IndisputableMonolith.GameTheory.MechanismDesignFromSigma decl_use
of in IndisputableMonolith.Information.PhysicsComplexityStructure decl_use
is in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom decl_use
that in IndisputableMonolith.NumberTheory.PhiLadderLattice decl_use