Theorems · Theorem · global analysis
ModelWithCorners.uniqueDiffOn_preimage
∀ {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) {s : Set H},
IsOpen s → UniqueDiffOn 𝕜 (↑I.symm ⁻¹' s ∩ Set.range ↑I)- 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.
Cites18
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
- 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.preimagestatement and proof · cited by 4,946
- Set.rangestatement and proof · cited by 4,705
- ModelWithCornersstatement and proof · cited by 2,462
- IsOpenstatement and proof · cited by 2,400
- PartialEquiv.toFunstatement and proof · cited by 821
- ModelWithCorners.toFun'statement and proof · cited by 373
- Set.inter_commproof · cited by 291
Cited by3
Results whose statement or proof uses this declaration.
- ModelWithCorners.uniqueDiffOn_extendCoordChange_sourceproof · cited by 2
- uniqueDiffOn_extChartAt_targetproof · cited by 1
- ModelWithCorners.uniqueDiffOn_preimage_sourceproof · cited by 0