Theorems · Definition · geometry

AffineSubspace.WOppSide

{R : Type u_1} →
  {V : Type u_2} →
    {P : Type u_4} →
      [inst : CommRing R] →
        [inst_1 : PartialOrder R] →
          [IsStrictOrderedRing R] →
            [inst_3 : AddCommGroup V] →
              [inst_4 : Module R V] → [inst_5 : AddTorsor V P] → AffineSubspace R P → P → P → Prop

The points x and y are weakly on opposite sides of s.

Defined in

Mathlib.Analysis.Convex.Side

Cited by

50 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

CommRingPartialOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor