Theorems · Definition · linear algebra

PiTensorProduct.tprod

{ι : Type u_1} →
  (R : Type u_4) →
    [inst : CommSemiring R] →
      {s : ι → Type u_7} →
        [inst_1 : (i : ι) → AddCommMonoid (s i)] →
          [inst_2 : (i : ι) → Module R (s i)] → MultilinearMap R s (PiTensorProduct R fun i => s i)

The canonical MultilinearMap R s (⨂[R] i, s i). tprod R fun i => f i has notation ⨂ₜ[R] i, f i.

Defined in

Mathlib.LinearAlgebra.PiTensorProduct.Basic

Cited by

117 results in Mathlib

Foundations

Depth 56 from the axioms, rests on 814 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModule