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formal statement (Lean)
101theorem ca_is_local (tape : Tape) (i : ℤ) :
102 (step tape) i = localRule (extractNeighborhood tape i) := rfl
proof body
Term-mode proof.
103
104/-- The CA is k-local for k = 1 -/
depends on (9)
Lean names referenced from this declaration's body.
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extractNeighborhood
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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localRule
in IndisputableMonolith.Complexity.CellularAutomata
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step
in IndisputableMonolith.Complexity.CellularAutomata
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Tape
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use