Theorems · Theorem · global analysis
ModelWithCorners.uniqueDiffOn
∀ {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),
UniqueDiffOn 𝕜 (Set.range ↑I)- Cited by
- 7 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- 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
- RCLikeproof · cited by 2,829
- ModelWithCornersstatement and proof · cited by 2,462
- ModelWithCorners.toFun'statement · cited by 373
- UniqueDiffOnstatement and proof · cited by 215
- IsRCLikeNormedFieldproof · cited by 104
- NormedSpace.restrictScalarsproof · cited by 39
Cited by7
Results whose statement or proof uses this declaration.
- uniqueMDiffWithinAt_univproof · cited by 14
- ModelWithCorners.uniqueDiffOn_preimageproof · cited by 3
- ModelWithCorners.uniqueDiffWithinAt_imageproof · cited by 3
- ModelWithCorners.uniqueMDiffOnproof · cited by 2
- MDifferentiableAt.isInteriorPoint_of_surjective_mfderivproof · cited by 1
- contDiffOn_fderiv_coord_changeproof · cited by 1
- fderivWithin_extChartAt_comp_extChartAt_symm_rangeproof · cited by 0