Theorems · Theorem · geometry

midpoint_vsub

∀ {R : Type u_1} {V : Type u_2} {P : Type u_4} [inst : Ring R] [inst_1 : Invertible 2] [inst_2 : AddCommGroup V]
  [inst_3 : Module R V] [inst_4 : AddTorsor V P] (p₁ p₂ p : P), midpoint R p₁ p₂ -ᵥ p = ⅟2 • (p₁ -ᵥ p) + ⅟2 • (p₂ -ᵥ p)

Defined in

Mathlib.LinearAlgebra.AffineSpace.Midpoint

Cited by

2 results in Mathlib

Foundations

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

Assumes

RingInvertibleAddCommGroupModuleAddTorsor