Theorems · Theorem · geometry

AffineBasis.coord_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) [inst_4 : DecidableEq ι] (i j : ι),
  (b.coord i) (b j) = if i = j then 1 else 0

Defined in

Mathlib.LinearAlgebra.AffineSpace.Basis

Cited by

4 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddTorsorRingModuleDecidableEq