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formal statement (Lean)
67def isSuperposition {n : ℕ} (ψ : QuantumState n) : Prop :=
proof body
Definition body.
68 ∃ i j : Fin n, i ≠ j ∧ ψ.amplitudes i ≠ 0 ∧ ψ.amplitudes j ≠ 0
69
70/-- A definite state: exactly one basis state has non-zero amplitude. -/
depends on (15)
Lean names referenced from this declaration's body.
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has
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
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one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
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QuantumState
in IndisputableMonolith.Foundation.QuantumLedger
decl_use
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one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
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QuantumState
in IndisputableMonolith.Information.NoCloning
decl_use
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A
in IndisputableMonolith.Masses.Anchor
decl_use
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A
in IndisputableMonolith.Modal.Actualization
decl_use
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QuantumState
in IndisputableMonolith.QFT.PauliExclusion
decl_use
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amplitude
in IndisputableMonolith.QFT.SMatrixUnitarity
decl_use
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one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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QuantumState
in IndisputableMonolith.QFT.Unitarity
decl_use
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amplitude
in IndisputableMonolith.Quantum.DoubleSlit
decl_use
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QuantumState
in IndisputableMonolith.Quantum.Measurement.WavefunctionCollapse
decl_use
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one
in IndisputableMonolith.RecogSpec.Core
decl_use