Theorems · Theorem · geometry

AffineBasis.basisOf_apply

∀ {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) (i : ι) (j : { j // j ≠ i }),
  (b.basisOf i) j = b ↑j -ᵥ b i

Defined in

Mathlib.LinearAlgebra.AffineSpace.Basis

Cited by

4 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddTorsorRingModule