Theorems · Theorem · convex and discrete geometry

affineSegment_const_vadd_image

∀ (R : Type u_1) {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : PartialOrder R] [inst_2 : AddCommGroup V]
  [inst_3 : Module R V] [inst_4 : AddTorsor V P] (x y : P) (v : V),
  (fun x => v +ᵥ x) '' affineSegment R x y = affineSegment R (v +ᵥ x) (v +ᵥ y)

Defined in

Mathlib.Analysis.Convex.Between

Cited by

1 results in Mathlib

Foundations

Depth 48 from the axioms · uses propext, Quot.sound

Assumes

RingPartialOrderAddCommGroupModuleAddTorsor