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Theorems · Theorem · order theory

HahnSeries.embDomainOrderAddMonoidHom_injective

∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : PartialOrder R] {Γ' : Type u_3}
  [inst_2 : LinearOrder Γ'] (f : Γ ↪o Γ') [inst_3 : AddMonoid R],
  Function.Injective ⇑(HahnSeries.embDomainOrderAddMonoidHom f)
Defined in
Mathlib.RingTheory.HahnSeries.Lex
Cited by
1 results in Mathlib
Foundations
Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderPartialOrderLinearOrderAddMonoid
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Around this declaration

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

hahnEmbedding_isOrderedAddMonoid · cited by 0hahnEmbedding_isOrderedAd…DFunLike.coe · cited by 62936DFunLike.coeLinearOrder · cited by 8572LinearOrderPartialOrder · cited by 6410PartialOrderAddMonoid · cited by 2864AddMonoidOrderEmbedding · cited by 619OrderEmbeddingHahnSeries · cited by 528HahnSeriesLex · cited by 370LexOrderAddMonoidHom · cited by 80OrderAddMonoidHomRelEmbedding.injective · cited by 41RelEmbedding.injectiveHahnSeries.embDomainOrderEmbedding · cited by 4HahnSeries.embDomainOrder…HahnSeries.embDomainOrderAddMonoidHom · cited by 3HahnSeries.embDomainOrder…HahnSeries.embDomainOrderAddM…CITED BYCITES

Cites11

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Cited by1

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