Theorems · Theorem · global analysis
Icc_chartedSpaceChartAt
∀ {x y : ℝ} [hxy : Fact (x < y)] {z : ↑(Set.Icc x y)},
chartAt (EuclideanHalfSpace 1) z = if ↑z < y then IccLeftChart x y else IccRightChart x y- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- Factstatement and proof · cited by 2,726
- Set.Iccstatement and proof · cited by 1,702
- OpenPartialHomeomorphstatement · cited by 664
- chartAtstatement · cited by 301
- EuclideanHalfSpacestatement · cited by 47
- IccLeftChartstatement · cited by 14
- IccRightChartstatement · cited by 11
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