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formal statement (Lean)
157structure TimeAsOrbitCert where
158 tick_is_NNO : IsNaturalNumberObject (N := Tick) tickZero tickSucc
proof body
Definition body.
159 tick_equiv_logicNat : Tick ≃ LogicNat
160 tick_equiv_logicNat_zero : tick_equiv_logicNat tickZero = LogicNat.identity
161 tick_equiv_logicNat_succ :
162 ∀ t : Tick, tick_equiv_logicNat (tickSucc t) =
163 LogicNat.step (tick_equiv_logicNat t)
164 recognition_advances_succ :
165 ∀ step : RecognitionStep, step.output.tick = tickSucc step.input.tick
166
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (14)
Lean names referenced from this declaration's body.
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step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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tick
in IndisputableMonolith.Constants
decl_use
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tick
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
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LogicNat
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
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identity
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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tickSucc
in IndisputableMonolith.Foundation.TimeAsOrbit
decl_use
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tickZero
in IndisputableMonolith.Foundation.TimeAsOrbit
decl_use
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RecognitionStep
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
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Tick
in IndisputableMonolith.Foundation.TimeEmergence
decl_use
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IsNaturalNumberObject
in IndisputableMonolith.Foundation.UniversalForcing.NaturalNumberObject
decl_use
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Tick
in IndisputableMonolith.Masses.Ribbons
decl_use
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Tick
in IndisputableMonolith.Masses.Ribbons.Tick
decl_use
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Tick
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use