Theorems · Theorem · convex and discrete geometry

Prod.image_mk_segment_left

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : AddCommMonoid F] [inst_4 : Module 𝕜 E] [inst_5 : Module 𝕜 F] (x₁ x₂ : E) (y : F),
  (fun x => (x, y)) '' segment 𝕜 x₁ x₂ = segment 𝕜 (x₁, y) (x₂, y)

Defined in

Mathlib.Analysis.Convex.Segment

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidAddCommMonoidModuleModule