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formal statement (Lean)
23theorem zero_cost_iff_dot_zero {n : ℕ} (α x : Vec n) :
24 JcostN α x = 0 ↔ dot α (logVec x) = 0 :=
proof body
Term-mode proof.
25 JcostN_eq_zero_iff α x
26
27/-- Zero-cost iff aggregate equals one. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (12)
Lean names referenced from this declaration's body.
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aggregate
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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dot
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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JcostN
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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JcostN_eq_zero_iff
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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logVec
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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Vec
in IndisputableMonolith.Cost.Ndim.Core
decl_use
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one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
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one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
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one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
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one
in IndisputableMonolith.RecogSpec.Core
decl_use