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Theorems · Definition · geometry

Affine.Simplex.points

{k : Type u_1} →
  {V : Type u_2} →
    {P : Type u_5} →
      [inst : Ring k] →
        [inst_1 : AddCommGroup V] →
          [inst_2 : Module k V] → [inst_3 : AddTorsor V P] → {n : ℕ} → Affine.Simplex k P n → Fin (n + 1) → P
Defined in
Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic
Cited by
391 results in Mathlib
Foundations
Depth 8 from the axioms, rests on 41 definitions · uses no axioms
Assumes
RingAddCommGroupModuleAddTorsor

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Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Modulestatement and proof · cited by 20,661
  • AddCommGroupstatement and proof · cited by 12,871
  • Ringstatement and proof · cited by 7,463
  • AddTorsorstatement and proof · cited by 1,657
  • Affine.Simplexstatement and proof · cited by 471

Cited by414

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 414.