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formal statement (Lean)
122def cubicArea {n : ℕ} (_L : EdgeLengthField n) (h : HingeDatum n) : ℝ :=
proof body
Definition body.
123 match h.edges with
124 | [(i, j)] => jcost_to_regge_factor * h.weight (i, j) / 2
125 | _ => 0
126
127/-- Value of `cubicDeficit` on a singleton hinge. -/
used by (6)
From the project-wide theorem graph. These declarations reference this one in their body.
-
cubicArea_nonneg
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
cubicArea_singleton
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
cubicDeficitFunctional
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
cubicDeficit_singleton
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
regge_sum_cubicHinges
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
singletonHinge_product
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
depends on (10)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
-
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
-
jcost_to_regge_factor
in IndisputableMonolith.Foundation.SimplicialLedger.ContinuumBridge
decl_use
-
cubicDeficit
in IndisputableMonolith.Foundation.SimplicialLedger.CubicDeficitDischarge
decl_use
-
EdgeLengthField
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
HingeDatum
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
singleton
in IndisputableMonolith.RRF.Foundation.Ledger
decl_use