Affine.Simplex.incenter_mem_interior
∀ {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] {n : ℕ} [inst_4 : NeZero n] (s : Affine.Simplex ℝ P n), s.incenter ∈ s.interior- Defined in
- Mathlib.Geometry.Euclidean.Incenter
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Finset.sumproof · cited by 5,195
- InnerProductSpacestatement and proof · cited by 3,523
- Finset.univproof · cited by 3,473
- Compl.complproof · cited by 2,925
- LT.lt.leproof · cited by 2,189
- le_reflproof · cited by 2,061
- MetricSpacestatement and proof · cited by 1,684
- add_commproof · cited by 1,535
- NormedAddTorsorstatement and proof · cited by 1,325
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.