Mathlib Map

Theorems · Definition · order theory

HahnSeries.embDomainOrderEmbedding

{Γ : Type u_1} →
  {R : Type u_2} →
    [inst : LinearOrder Γ] →
      [inst_1 : PartialOrder R] →
        {Γ' : Type u_3} →
          [inst_2 : LinearOrder Γ'] → Γ ↪o Γ' → [inst_3 : Zero R] → Lex (HahnSeries Γ R) ↪o Lex (HahnSeries Γ' R)

HahnSeries.embDomain as an OrderEmbedding.

Defined in
Mathlib.RingTheory.HahnSeries.Lex
Cited by
4 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderPartialOrderLinearOrderZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HahnSeries.embDomainOrderAddMonoidHom · cited by 3HahnSeries.embDomainOrder…HahnSeries.embDomainOrderAddMonoidHom_apply · cited by 1HahnSeries.embDomainOrder…HahnSeries.embDomainOrderAddMonoidHom_injective · cited by 1HahnSeries.embDomainOrder…HahnSeries.embDomainOrderEmbedding_apply · cited by 1HahnSeries.embDomainOrder…hahnEmbedding_isOrderedAddMonoid · cited by 0hahnEmbedding_isOrderedAd…DFunLike.coe · cited by 62936DFunLike.coeLinearOrder · cited by 8572LinearOrderPartialOrder · cited by 6410PartialOrderOrderEmbedding · cited by 619OrderEmbeddingHahnSeries · cited by 528HahnSeriesLex · cited by 370LextoLex · cited by 195toLexofLex · cited by 127ofLexHahnSeries.embDomain · cited by 21HahnSeries.embDomainHahnSeries.embDomainOrderEmbe…CITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.