No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
155theorem j_functional_equation {x : ℝ} (hx : 0 < x) :
156 Cost.Jcost x = Cost.Jcost x⁻¹ :=
proof body
Term-mode proof.
157 Cost.Jcost_symm hx
158
159/-- The fixed point of x ↔ 1/x is x = 1. This is the RS "critical point." -/
depends on (13)
Lean names referenced from this declaration's body.
-
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
-
Jcost_symm
in IndisputableMonolith.Cost
decl_use
-
Jcost_symm
in IndisputableMonolith.Cost.JcostCore
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
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
-
point
in IndisputableMonolith.Numerics.Interval.Basic
decl_use