Theorems · Theorem · geometry

AffineBasis.coord_smul

∀ {ι : Type u_1} {G : Type u_3} {k : Type u_5} {V : Type u_6} [inst : AddCommGroup V] [inst_1 : Ring k]
  [inst_2 : Module k V] [inst_3 : Group G] [inst_4 : DistribMulAction G V] [inst_5 : SMulCommClass G k V] (a : G)
  (b : AffineBasis ι k V) (i : ι),
  (a • b).coord i = (b.coord i).comp (↑(DistribMulAction.toLinearEquiv k V a).symm).toAffineMap

Defined in

Mathlib.LinearAlgebra.AffineSpace.Basis

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupRingModuleGroupDistribMulActionSMulCommClass