Theorems · Theorem · global analysis
ModelWithCorners.isImmersionAt
∀ {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} {n : ℕ} {x : H},
Manifold.IsImmersionAt I (modelWithCornersSelf 𝕜 E) (↑n) (↑I) xEvery ModelWithCorners 𝕜 E H is an immersion when viewed as a map H → E.
- Defined in
- Mathlib.Geometry.Manifold.Immersion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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 · cited by 4,985
- WithTopstatement · cited by 3,754
- ModelWithCornersstatement and proof · cited by 2,462
- modelWithCornersSelfstatement · cited by 920
- ModelWithCorners.toFun'statement · cited by 373
- Manifold.IsImmersionAtstatement · cited by 25
- ModelWithCorners.isImmersionAtOfComplementproof · cited by 2
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