recognition /
Meta /
Meta.Homogenization /
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formal statement (Lean)
21 def metric_det (g : MetricTensor) (x : Fin 4 → ℝ) : ℝ := g.det x
proof body
Definition body.
22
23 /-- **DEFINITION: Simplicial Recognition Density**
24 The number of recognition events per unit volume in the simplicial ledger.
25 For a covering L, this is the count of simplices containing the point x
26 divided by their average volume. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (19)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
metric_det
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
MetricTensor
in IndisputableMonolith.Foundation.Hamiltonian
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
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
MetricTensor
in IndisputableMonolith.Gravity.Connection
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
MetricTensor
in IndisputableMonolith.Meta.Homogenization
decl_use
point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
volume
in IndisputableMonolith.Papers.GCIC.BrainHolography
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use
metric_det
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use
MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use