Theorems · Theorem · convex and discrete geometry

wbtw_const_vadd_iff

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : PartialOrder R] [inst_2 : AddCommGroup V]
  [inst_3 : Module R V] [inst_4 : AddTorsor V P] {x y z : P} (v : V), Wbtw R (v +ᵥ x) (v +ᵥ y) (v +ᵥ z) ↔ Wbtw R x y z

Defined in

Mathlib.Analysis.Convex.Between

Cited by

3 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddCommGroupModuleAddTorsor