Theorems · Theorem · global analysis
Icc_isInteriorPoint_interior
∀ {x y : ℝ} [hxy : Fact (x < y)] {p : ↑(Set.Icc x y)},
x < ↑p ∧ ↑p < y → (modelWithCornersEuclideanHalfSpace 1).IsInteriorPoint p- Defined in
- Mathlib.Geometry.Manifold.Instances.Real
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 229 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- ENNRealstatement · cited by 9,879
- Set.Elemstatement and proof · cited by 7,166
- Set.rangeproof · cited by 4,705
- Factstatement and proof · cited by 2,726
- Set.Iccstatement and proof · cited by 1,702
- PartialEquiv.toFunproof · cited by 821
- interiorproof · cited by 714
- OpenPartialHomeomorphproof · cited by 664
- ModelWithCorners.toFun'proof · cited by 373
- PartialEquivproof · cited by 335
Cited by1
Results whose statement or proof uses this declaration.
- boundary_Iccproof · cited by 1