Theorems · Theorem · geometry

AffineSubspace.sSameSide_lineMap_right

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Field R] [inst_1 : LinearOrder 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}, x ∈ s → y ∉ s → ∀ {t : R}, 0 < t → s.SSameSide y ((AffineMap.lineMap x y) t)

Defined in

Mathlib.Analysis.Convex.Side

Cited by

0 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor