Theorems · Theorem · global analysis
isSmoothEmbedding_subtypeVal_Icc
∀ {x y : ℝ} [h : Fact (x < y)] {n : WithTop ℕ∞},
Manifold.IsSmoothEmbedding (modelWithCornersEuclideanHalfSpace 1) (modelWithCornersSelf ℝ ℝ) n fun z => ↑zThe inclusion map from a closed segment to ℝ is a smooth embedding
- Defined in
- Mathlib.Geometry.Manifold.Instances.Icc
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
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- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Set.Elemstatement · cited by 7,166
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- Factstatement and proof · cited by 2,726
- Set.Iccstatement · cited by 1,702
- modelWithCornersSelfstatement · cited by 920
- EuclideanSpacestatement · cited by 307
- EuclideanHalfSpacestatement · cited by 47
- Topology.IsEmbedding.subtypeValproof · cited by 41
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