Theorems · Definition · linear algebra

PiTensorProduct.lifts

{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)] →
            (PiTensorProduct R fun i => s i) → Set (FreeAddMonoid (R × ((i : ι) → s i)))

The set of lifts of an element x of ⨂[R] i, s i in FreeAddMonoid (R × Π i, s i).

Defined in

Mathlib.LinearAlgebra.PiTensorProduct.Basic

Cited by

13 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModule