Mathlib Map

Theorems · Definition · commutative algebra

HahnSeries.embDomainLinearMap

{Γ : Type u_1} →
  {Γ' : Type u_2} →
    {R : Type u_3} →
      [inst : PartialOrder Γ] →
        [inst_1 : Semiring R] → [inst_2 : PartialOrder Γ'] → Γ ↪o Γ' → HahnSeries Γ R →ₗ[R] HahnSeries Γ' R

Extending the domain of Hahn series is a linear map.

Defined in
Mathlib.RingTheory.HahnSeries.Addition
Cited by
1 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderSemiringPartialOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HahnSeries.embDomainLinearMap_apply · cited by 0HahnSeries.embDomainLinea…RingHom.id · cited by 18349RingHom.idSemiring · cited by 13802SemiringLinearMap · cited by 10215LinearMapPartialOrder · cited by 6410PartialOrderOrderEmbedding · cited by 619OrderEmbeddingHahnSeries · cited by 528HahnSeriesHahnSeries.embDomain · cited by 21HahnSeries.embDomainHahnSeries.embDomain_smul · cited by 0HahnSeries.embDomain_smulHahnSeries.embDomainLinearMapCITED BYCITES

Cites8

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Cited by1

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