Theorems · Theorem · convex and discrete geometry

segment_translate_image

∀ (𝕜 : Type u_1) {E : Type u_2} [inst : Ring 𝕜] [inst_1 : PartialOrder 𝕜] [AddRightMono 𝕜] [inst_3 : AddCommGroup E]
  [inst_4 : Module 𝕜 E] (a b c : E), (fun x => a + x) '' segment 𝕜 b c = segment 𝕜 (a + b) (a + c)

Defined in

Mathlib.Analysis.Convex.Segment

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddRightMonoAddCommGroupModule