recognition /
Algebra /
Algebra.LedgerAlgebra /
explainer
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formal statement (Lean)
111 structure Window8 where
112 /-- The 8 events in this window -/
113 events : Fin 8 → LedgerEvent
114
115 /-- The sum over a window. -/
116 def Window8.sum (w : Window8) : ℤ :=
proof body
Definition body.
117 (Finset.univ.sum fun i => (w.events i).flow)
118
119 /-- A window is **neutral** if its sum is zero. -/
120 def Window8.isNeutral (w : Window8) : Prop := w.sum = 0
121
122 /-- **Construction: A neutral window from 4 paired events.** -/
used by (9)
From the project-wide theorem graph. These declarations reference this one in their body.
neutralWindow
in IndisputableMonolith.Algebra.LedgerAlgebra
decl_use
neutralWindow_isNeutral
in IndisputableMonolith.Algebra.LedgerAlgebra
decl_use
balanceDebt
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
balanced_has_zero_debt
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
balanced_iff_zero_debt
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
debt_is_running_negation
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
IsBalanced
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
phantom_completes_to_balanced
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Window8
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
depends on (15)
Lean names referenced from this declaration's body.
LedgerEvent
in IndisputableMonolith.Algebra.LedgerAlgebra
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Window8
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Window8
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Window8
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use