Theorems · Theorem · convex and discrete geometry

Wbtw.left_mem_affineSpan_of_right_ne

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Field R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R]
  [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P] {x y z : P},
  Wbtw R x y z → z ≠ y → x ∈ line[R, z, y]

Defined in

Mathlib.Analysis.Convex.Between

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModuleAddTorsor