Theorems · Theorem · geometry

AffineSubspace.SSameSide.left_notMem

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : CommRing R] [inst_1 : PartialOrder R]
  [inst_2 : IsStrictOrderedRing R] [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P]
  {s : AffineSubspace R P} {x y : P}, s.SSameSide x y → x ∉ s

Defined in

Mathlib.Analysis.Convex.Side

Cited by

3 results in Mathlib

Foundations

Depth 15 from the axioms · uses no axioms

Assumes

CommRingPartialOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor