Mathlib Map

Theorems · Theorem · global analysis

lineDifferentiableWithinAt_zero

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {E : Type u_3} [inst_3 : AddCommGroup E] [inst_4 : Module 𝕜 E] {f : E → F} {s : Set E}
  {x : E}, LineDifferentiableWithinAt 𝕜 f s x 0
Defined in
Mathlib.Analysis.Calculus.LineDeriv.Basic
Cited by
0 results in Mathlib
Foundations
Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceAddCommGroupModule
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Set · cited by 53352SetModule · cited by 20661ModuleNormedAddCommGroup · cited by 15752NormedAddCommGroupAddCommGroup · cited by 12871AddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldLineDifferentiableWithinAt · cited by 19LineDifferentiableWithinAtHasLineDerivWithinAt.lineDifferentiableWithinAt · cited by 7HasLineDerivWithinAt.line…hasLineDerivWithinAt_zero · cited by 1hasLineDerivWithinAt_zerolineDifferentiableWithinAt_ze…CITED BYCITES

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