Theorems · Theorem · convex and discrete geometry

openSegment_same

∀ (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] [ZeroLEOneClass 𝕜] [Nontrivial 𝕜] [DenselyOrdered 𝕜] (x : E), openSegment 𝕜 x x = {x}

Defined in

Mathlib.Analysis.Convex.Segment

Cited by

3 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

RingPartialOrderAddRightMonoAddCommGroupModuleZeroLEOneClassNontrivialDenselyOrdered