Theorems · Theorem · linear algebra

Matrix.mul_reindexLinearEquiv_one

∀ {m : Type u_2} {n : Type u_3} {o : Type u_4} {n' : Type u_7} (R : Type u_11) (A : Type u_12) [inst : Semiring R]
  [inst_1 : Semiring A] [inst_2 : Module R A] [inst_3 : Fintype n] [inst_4 : DecidableEq o] (e₁ : o ≃ n) (e₂ : o ≃ n')
  (M : Matrix m n A),
  M * (Matrix.reindexLinearEquiv R A e₁ e₂) 1 = (Matrix.reindexLinearEquiv R A (Equiv.refl m) (e₁.symm.trans e₂)) M

Defined in

Mathlib.LinearAlgebra.Matrix.Reindex

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringModuleFintypeDecidableEq