Theorems · Definition · linear algebra

Module.Basis.isUnitSMul

{ι : Type u_1} →
  {R : Type u_2} →
    {M : Type u_4} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid M] →
          [inst_2 : Module R M] → Module.Basis ι R M → {w : ι → R} → (∀ (i : ι), IsUnit (w i)) → Module.Basis ι R M

A version of unitsSMul that uses IsUnit.

Defined in

Mathlib.LinearAlgebra.Basis.SMul

Cited by

8 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommMonoidModule