recognition /
Foundation /
Foundation.LedgerForcing /
explainer
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formal statement (Lean)
73 theorem reciprocity (e : RecognitionEvent) : event_cost e = event_cost (reciprocal e) := by
proof body
Term-mode proof.
74 simp only [event_cost, reciprocal]
75 exact J_symmetric e.ratio_pos.ne'
76
77 /-! ## Ledger Structure -/
78
79 /-- A list of events is balanced if every event is paired with its reciprocal. -/
used by (14)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (23)
Lean names referenced from this declaration's body.
reciprocal
in IndisputableMonolith.Algebra.CostAlgebra
decl_use
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
Structure
in IndisputableMonolith.Chemistry.CrystalStructure
decl_use
J_symmetric
in IndisputableMonolith.Foundation.CostAxioms
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
balanced
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
event_cost
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
J_symmetric
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
reciprocal
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
RecognitionEvent
in IndisputableMonolith.Foundation.LedgerForcing
decl_use
RecognitionEvent
in IndisputableMonolith.Foundation.ObserverForcing
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
RecognitionEvent
in IndisputableMonolith.Information.InformationIsLedger
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
J_symmetric
in IndisputableMonolith.QFT.HiggsMechanism
decl_use