EuclideanGeometry.Sphere.isExtTangent_iff_dist_center
∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
[inst_3 : NormedAddTorsor V P] {s₁ s₂ : EuclideanGeometry.Sphere P},
s₁.IsExtTangent s₂ ↔ dist s₁.center s₂.center = s₁.radius + s₂.radius ∧ 0 ≤ s₁.radius ∧ 0 ≤ s₂.radius- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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- Dist.diststatement and proof · cited by 1,539
- NormedAddTorsorstatement and proof · cited by 1,325
- one_ne_zeroproof · cited by 885
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