EuclideanGeometry.Cospherical.subset
∀ {P : Type u_2} [inst : MetricSpace P] {ps₁ ps₂ : Set P},
ps₁ ⊆ ps₂ → EuclideanGeometry.Cospherical ps₂ → EuclideanGeometry.Cospherical ps₁A subset of a cospherical set is cospherical.
- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- MetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Realproof · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- Dist.distproof · cited by 1,539
- EuclideanGeometry.Cosphericalstatement and proof · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Concyclic.subsetproof · cited by 0