Theorems · Theorem · global analysis
IccLeftChart_extend_interior_pos
∀ {x y : ℝ} [hxy : Fact (x < y)] {p : ↑(Set.Icc x y)},
x < ↑p ∧ ↑p < y → 0 < (↑((IccLeftChart x y).extend (modelWithCornersEuclideanHalfSpace 1)) p).ofLp 0- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ENNRealstatement · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- Factstatement and proof · cited by 2,726
- Set.Iccstatement and proof · cited by 1,702
- PartialEquiv.toFunstatement · cited by 821
- WithLp.ofLpstatement · cited by 323
- EuclideanSpacestatement · cited by 307
- OpenPartialHomeomorph.extendstatement · cited by 133
- EuclideanHalfSpacestatement · cited by 47
- modelWithCornersEuclideanHalfSpacestatement · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- Icc_isInteriorPoint_interiorproof · cited by 1