Theorems · Theorem · geometry

AddTorsor.convexCombination_single

∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring R] [inst_1 : PartialOrder R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P] (x : P),
  AddTorsor.convexCombination (Convexity.StdSimplex.single x) = x

Defined in

Mathlib.Geometry.Convex.ConvexSpace.AffineSpace

Cited by

0 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor