Theorems · Theorem · global analysis
ModelWithCorners.uniqueDiffWithinAt_image
∀ {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] (I : ModelWithCorners 𝕜 E H) {x : H},
UniqueDiffWithinAt 𝕜 (Set.range ↑I) (↑I x)- Cited by
- 3 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.rangestatement · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- ModelWithCorners.toFun'statement and proof · cited by 373
- Set.mem_range_selfproof · cited by 328
- UniqueDiffWithinAtstatement · cited by 252
- ModelWithCorners.uniqueDiffOnproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- contMDiff_equivTangentBundleProd_symmproof · cited by 2
- trivializationAt_model_space_applyproof · cited by 1
- TangentBundle.tangentMap_tangentBundle_pureproof · cited by 0