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Theorems · Definition · commutative algebra

HahnSeries.SummableFamily.Equiv

{Γ : Type u_1} →
  {R : Type u_3} →
    {α : Type u_5} →
      {β : Type u_6} →
        [inst : PartialOrder Γ] →
          [inst_1 : AddCommMonoid R] → α ≃ β → HahnSeries.SummableFamily Γ R α → HahnSeries.SummableFamily Γ R β

A summable family induced by an equivalence of the parametrizing type.

Defined in
Mathlib.RingTheory.HahnSeries.Summable
Cited by
3 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
PartialOrderAddCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HahnSeries.SummableFamily.hsum_equiv · cited by 1SummableFamily.hsum_equivHahnSeries.SummableFamily.smul_eq · cited by 1SummableFamily.smul_eqHahnSeries.SummableFamily.Equiv_toFun · cited by 1SummableFamily.Equiv_toFunDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidEquiv · cited by 8337EquivPartialOrder · cited by 6410PartialOrderEquiv.symm · cited by 3681Equiv.symmHahnSeries.SummableFamily · cited by 88HahnSeries.SummableFamilySummableFamily.EquivCITED BYCITES

Cites6

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Cited by3

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