Theorems · Theorem · geometry

AffineSubspace.wOppSide_vadd_right_iff

∀ {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} {v : V}, v ∈ s.direction → (s.WOppSide x (v +ᵥ y) ↔ s.WOppSide x y)

Defined in

Mathlib.Analysis.Convex.Side

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

CommRingPartialOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor