Theorems · Definition · global analysis

UniqueMDiffOn

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {E : Type u_2} →
      [inst_1 : NormedAddCommGroup E] →
        [inst_2 : NormedSpace 𝕜 E] →
          {H : Type u_3} →
            [inst_3 : TopologicalSpace H] →
              ModelWithCorners 𝕜 E H → {M : Type u_4} → [inst : TopologicalSpace M] → [ChartedSpace H M] → Set M → Prop

Predicate ensuring that, at all points of a set, a function can have at most one derivative.

Defined in

Mathlib.Geometry.Manifold.MFDeriv.Defs

Cited by

48 results in Mathlib

Foundations

Depth 47 from the axioms · uses propext, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpaceTopologicalSpaceTopologicalSpaceChartedSpace