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Theorems · Theorem · real analysis

differentiableAt_natCast

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
  [inst_6 : TopologicalSpace F] [inst_7 : NatCast F] (n : ℕ) (x : E), DifferentiableAt 𝕜 (↑n) x
Defined in
Mathlib.Analysis.Calculus.FDeriv.Const
Cited by
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Foundations
Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpaceNatCast
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TopologicalSpace · cited by 24529TopologicalSpaceModule · cited by 20661ModuleAddCommGroup · cited by 12871AddCommGroupNontriviallyNormedField · cited by 8742NontriviallyNormedFieldDifferentiableAt · cited by 617DifferentiableAtdifferentiableAt_const · cited by 23differentiableAt_constdifferentiableAt_natCastCITED BYCITES

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