Theorems · Theorem · geometry

AffineBasis.toMatrix_mul_toMatrix

∀ {ι : Type u₁} {k : Type u₂} {V : Type u₃} {P : Type u₄} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
  [inst_2 : Ring k] [inst_3 : Module k V] (b : AffineBasis ι k P) [inst_4 : Fintype ι] (b₂ : AffineBasis ι k P)
  [inst_5 : DecidableEq ι], b.toMatrix ⇑b₂ * b₂.toMatrix ⇑b = 1

Defined in

Mathlib.LinearAlgebra.AffineSpace.Matrix

Cited by

1 results in Mathlib

Foundations

Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupAddTorsorRingModuleFintypeDecidableEq