EuclideanGeometry.Sphere.ext
∀ {P : Type u_2} {inst : MetricSpace P} {x y : EuclideanGeometry.Sphere P},
x.center = y.center → x.radius = y.radius → x = y- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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.
- Realstatement and proof · 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
Cited by10
Results whose statement or proof uses this declaration.
- EuclideanGeometry.exists_circumsphere_eq_of_cospherical_subsetproof · cited by 2
- Affine.Triangle.circumsphere_eq_of_dist_of_oangleproof · cited by 1
- EuclideanGeometry.Sphere.IsDiameter.ofDiameter_eqproof · cited by 1
- EuclideanGeometry.Sphere.ext_iffproof · cited by 1
- EuclideanGeometry.Sphere.center_eq_iff_eq_of_memproof · cited by 1
- Affine.Simplex.ninePointCircle_mapproof · cited by 0
- Affine.Simplex.ninePointCircle_reindexproof · cited by 0
- Affine.Simplex.ninePointCircle_restrictproof · cited by 0
- EuclideanGeometry.Sphere.mk_center_radiusproof · cited by 0
- EuclideanGeometry.Sphere.isIntTangent_iff_dist_centerproof · cited by 0