Mathlib Map

Theorems · Inductive type · geometry

Affine.Simplex

(k : Type u_1) →
  {V : Type u_2} →
    (P : Type u_5) → [inst : Ring k] → [inst_1 : AddCommGroup V] → [Module k V] → [AddTorsor V P] → ℕ → Type u_5

A Simplex k P n is a collection of n + 1 affinely independent points.

Defined in
Mathlib.LinearAlgebra.AffineSpace.Simplex.Basic
Cited by
471 results in Mathlib
Foundations
Depth 6 from the axioms, rests on 26 definitions · uses no axioms
Assumes
RingAddCommGroupModuleAddTorsor

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites4

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

Cited by520

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 520.