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Theorems · Theorem · commutative algebra

HahnSeries.embDomain_injective

∀ {Γ : Type u_1} {Γ' : Type u_2} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : PartialOrder Γ']
  {f : Γ ↪o Γ'}, Function.Injective (HahnSeries.embDomain f)
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderZeroPartialOrder
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Around this declaration

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

HahnSeries.ofPowerSeries_injective · cited by 1HahnSeries.ofPowerSeries_…DFunLike.coe · cited by 62936DFunLike.coePartialOrder · cited by 6410PartialOrderOrderEmbedding · cited by 619OrderEmbeddingHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffHahnSeries.ext · cited by 53HahnSeries.extHahnSeries.embDomain · cited by 21HahnSeries.embDomainHahnSeries.embDomain_coeff · cited by 10HahnSeries.embDomain_coeffHahnSeries.ext_iff · cited by 3HahnSeries.ext_iffHahnSeries.embDomain_injectiveCITED BYCITES

Cites9

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Cited by1

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