Theorems · Theorem · global analysis
UniqueDiffWithinAt.uniqueMDiffWithinAt
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {s : Set E} {x : E}, UniqueDiffWithinAt 𝕜 s x → UniqueMDiffAt[s] xAlias of the reverse direction of uniqueMDiffWithinAt_iff_uniqueDiffWithinAt.
- Defined in
- Mathlib.Geometry.Manifold.MFDeriv.FDeriv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- modelWithCornersSelfstatement · cited by 920
- UniqueDiffWithinAtstatement · cited by 252
- UniqueMDiffWithinAtstatement · cited by 83
- uniqueMDiffWithinAt_iff_uniqueDiffWithinAtproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- mfderivWithin_comp_projIcc_oneproof · cited by 1