EuclideanGeometry.Sphere.ext_iff
∀ {P : Type u_2} {inst : MetricSpace P} {x y : EuclideanGeometry.Sphere P},
x = y ↔ x.center = y.center ∧ x.radius = y.radius- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- EuclideanGeometry.Spherestatement and proof · cited by 233
- EuclideanGeometry.Sphere.centerstatement and proof · cited by 181
- EuclideanGeometry.Sphere.radiusstatement and proof · cited by 123
- EuclideanGeometry.Sphere.extproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanGeometry.Sphere.ne_iffproof · cited by 0