Theorems · Theorem · linear algebra

Matrix.det_map

∀ {K : Type u_5} {m : Type u_6} {n : Type u_7} [inst : Field K] [inst_1 : Fintype m] [inst_2 : Fintype n]
  [inst_3 : DecidableEq m] [inst_4 : DecidableEq n] {F : Type u_8} [inst_5 : EquivLike F (Matrix m m K) (Matrix n n K)]
  [AlgEquivClass F K (Matrix m m K) (Matrix n n K)] (f : F) (x : Matrix m m K), (f x).det = x.det

Defined in

Mathlib.LinearAlgebra.Determinant

Cited by

3 results in Mathlib

Foundations

Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFintypeFintypeDecidableEqDecidableEqEquivLikeAlgEquivClass