Theorems · Theorem · convex and discrete geometry

wbtw_const_add_iff

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

Defined in

Mathlib.Analysis.Convex.Between

Cited by

1 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingPartialOrderAddCommGroupModule