EuclideanGeometry.cospherical_empty
∀ {P : Type u_2} [inst : MetricSpace P] [Nonempty P], EuclideanGeometry.Cospherical ∅The empty set is cospherical.
- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpaceNonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- MetricSpacestatement and proof · cited by 1,684
- EuclideanGeometry.Cosphericalstatement and proof · cited by 39
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Cospherical.subtype_val_iffproof · cited by 1
- EuclideanGeometry.concyclic_emptyproof · cited by 0