EuclideanGeometry.Sphere.isIntTangent_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] [Nontrivial V] {s₁ s₂ : EuclideanGeometry.Sphere P},
s₁.IsIntTangent s₂ ↔ dist s₁.center s₂.center = s₂.radius - s₁.radius ∧ 0 ≤ s₁.radius ∧ 0 ≤ s₂.radius- Cited by
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- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
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- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- InnerProductSpacestatement and proof · cited by 3,523
- one_mulproof · cited by 2,841
- Nontrivialstatement and proof · cited by 2,416
- Nat.cast_zeroproof · cited by 1,870
- absproof · cited by 1,814
- MetricSpacestatement and proof · cited by 1,684
- Dist.diststatement and proof · cited by 1,539
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