Theorems · Inductive type · linear algebra

PiTensorProduct.Eqv

{ι : Type u_1} →
  (R : Type u_4) →
    [inst : CommSemiring R] →
      (s : ι → Type u_7) →
        [inst_1 : (i : ι) → AddCommMonoid (s i)] →
          [(i : ι) → Module R (s i)] → FreeAddMonoid (R × ((i : ι) → s i)) → FreeAddMonoid (R × ((i : ι) → s i)) → Prop

The relation on FreeAddMonoid (R × Π i, s i) that generates a congruence whose quotient is the tensor product.

Defined in

Mathlib.LinearAlgebra.PiTensorProduct.Basic

Cited by

3 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CommSemiringAddCommMonoidModule