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Theorems · Theorem · commutative algebra

HahnSeries.ext

∀ {Γ : Type u_1} {R : Type u_2} {inst : PartialOrder Γ} {inst_1 : Zero R} {x y : HahnSeries Γ R},
  x.coeff = y.coeff → x = y
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
53 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
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Around this declaration

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

HahnSeries.single_mul_single · cited by 6HahnSeries.single_mul_sin…HahnSeries.single_pow · cited by 5HahnSeries.single_powHahnSeries.ofPowerSeries_X · cited by 5HahnSeries.ofPowerSeries_XHahnSeries.SummableFamily.powers_zero · cited by 4SummableFamily.powers_zeroHahnSeries.ext_iff · cited by 3HahnSeries.ext_iffHahnSeries.ofPowerSeries_C · cited by 3HahnSeries.ofPowerSeries_CLaurentSeries.single_order_mul_powerSeriesPart · cited by 3LaurentSeries.single_orde…LaurentSeries.val_le_one_iff_eq_coe · cited by 3LaurentSeries.val_le_one_…HahnSeries.coeff_injective · cited by 2HahnSeries.coeff_injectiveHahnSeries.SummableFamily.powerSeriesFamily_of_not_orderTop_pos · cited by 2SummableFamily.powerSerie…HahnSeries.embDomain_single · cited by 2HahnSeries.embDomain_sing…HahnSeries.SummableFamily.smul_hsum · cited by 2SummableFamily.smul_hsumHahnSeries.SummableFamily.hsum_embDomain · cited by 1SummableFamily.hsum_embDo…HahnSeries.SummableFamily.hsum_equiv · cited by 1SummableFamily.hsum_equivHahnSeries.SummableFamily.hsum_ofFinsupp · cited by 1SummableFamily.hsum_ofFin…PartialOrder · cited by 6410PartialOrderFunction.support · cited by 610Function.supportHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffSet.IsPWO · cited by 99Set.IsPWOHahnSeries.extCITED BYCITES

Cites5

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Cited by53

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