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formal statement (Lean)
82noncomputable def partialDeriv {M : Manifold} (f : Point M → ℝ) (μ : Fin M.dim) (x : Point M) : ℝ :=
proof body
Definition body.
83 deriv (fun t => f (fun i => if i = μ then x i + t else x i)) 0
84
85
86end Geometry
87end Relativity
88end IndisputableMonolith
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (5)
Lean names referenced from this declaration's body.
-
dim
in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation
decl_use
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M
in IndisputableMonolith.Recognition
decl_use
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M
in IndisputableMonolith.Recognition.Cycle3
decl_use
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Manifold
in IndisputableMonolith.Relativity.Geometry.Manifold
decl_use
-
Point
in IndisputableMonolith.Relativity.Geometry.Manifold
decl_use