Theorems · Definition · linear algebra

MatrixEquivTensor.invFun

(n : Type u_3) →
  (R : Type u_5) →
    (A : Type u_7) →
      [inst : CommSemiring R] →
        [inst_1 : Semiring A] →
          [inst_2 : Algebra R A] → [DecidableEq n] → [Fintype n] → Matrix n n A → TensorProduct R A (Matrix n n R)

(Implementation detail.) The bare function Matrix n n A → A ⊗[R] Matrix n n R. (We don't need to show that it's an algebra map, thankfully just that it's an inverse.)

Defined in

Mathlib.RingTheory.MatrixAlgebra

Cited by

6 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraDecidableEqFintype