Theorems · Theorem · manifolds
IsOpen.exists_contMDiff_support_eq_aux
∀ {E : Type uE} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {H : Type uH} [inst_2 : TopologicalSpace H]
(I : ModelWithCorners ℝ E H) [FiniteDimensional ℝ E] {n : ℕ∞} {s : Set H},
IsOpen s → ∃ f, Function.support f = s ∧ ContMDiff I (modelWithCornersSelf ℝ ℝ) (↑n) f ∧ Set.range f ⊆ Set.Icc 0 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 234 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
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
- Realstatement and proof · 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
- ENatstatement and proof · cited by 4,985
- Set.preimageproof · 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
- FiniteDimensionalstatement and proof · cited by 1,854
- Set.Iccstatement and proof · cited by 1,702
Cited by1
Results whose statement or proof uses this declaration.
- IsOpen.exists_contMDiff_support_eqproof · cited by 1