EuclideanGeometry.Concyclic.subset
∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : NormedSpace ℝ V] [inst_2 : MetricSpace P]
[inst_3 : NormedAddTorsor V P] {ps₁ ps₂ : Set P},
ps₁ ⊆ ps₂ → EuclideanGeometry.Concyclic ps₂ → EuclideanGeometry.Concyclic ps₁A subset of a concyclic set is concyclic.
- Defined in
- Mathlib.Geometry.Euclidean.Sphere.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- MetricSpacestatement and proof · cited by 1,684
- NormedAddTorsorstatement and proof · cited by 1,325
- EuclideanGeometry.Concyclicstatement and proof · cited by 8
- EuclideanGeometry.Cospherical.subsetproof · cited by 1
- Coplanar.subsetproof · cited by 1
- EuclideanGeometry.Concyclic.Coplanarproof · cited by 1
- EuclideanGeometry.Concyclic.Cosphericalproof · cited by 1
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