Theorems · Theorem · global analysis
Manifold.IsImmersionOfComplement.of_opens
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {H : Type u_7} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {M : Type u_11}
[inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {n : WithTop ℕ∞} [IsManifold I n M]
(s : TopologicalSpace.Opens M), Manifold.IsImmersionOfComplement PUnit.{u_15 + 1} I I n Subtype.val- Defined in
- Mathlib.Geometry.Manifold.Immersion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- ChartedSpacestatement and proof · cited by 2,397
- TopologicalSpace.Opensstatement and proof · cited by 2,040
- IsManifoldstatement and proof · cited by 326
- Manifold.IsImmersionOfComplementstatement · cited by 15
- Manifold.IsImmersionAtOfComplement.of_opensproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Manifold.IsImmersion.of_opensproof · cited by 1