Theorems · Theorem · geometry

AffineBasis.ext_elem

∀ {ι : Type u_1} {k : Type u_5} {V : Type u_6} {P : Type u_7} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
  [inst_2 : Ring k] [inst_3 : Module k V] (b : AffineBasis ι k P) [Finite ι] {q₁ q₂ : P},
  (∀ (i : ι), (b.coord i) q₁ = (b.coord i) q₂) → q₁ = q₂

Defined in

Mathlib.LinearAlgebra.AffineSpace.Basis

Cited by

1 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddTorsorRingModuleFinite