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Theorems · Theorem · commutative algebra

HahnSeries.mem_support

∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] (x : HahnSeries Γ R) (a : Γ),
  a ∈ x.support ↔ x.coeff a ≠ 0
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
10 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
PartialOrderZero
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Around this declaration

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

HahnSeries.embDomain_coeff · cited by 10HahnSeries.embDomain_coeffHahnSeries.coeff_eq_zero_of_lt_orderTop · cited by 9HahnSeries.coeff_eq_zero_…HahnSeries.order_le_of_coeff_ne_zero · cited by 6HahnSeries.order_le_of_co…HahnSeries.orderTop_le_of_coeff_ne_zero · cited by 4HahnSeries.orderTop_le_of…HahnSeries.coeff_eq_zero_of_lt_order · cited by 3HahnSeries.coeff_eq_zero_…HahnSeries.support_embDomain_subset · cited by 2HahnSeries.support_embDom…HahnSeries.SummableFamily.isPWO_iUnion_support_prod_smul · cited by 1SummableFamily.isPWO_iUni…HahnSeries.SummableFamily.le_hsum_support_mem · cited by 1SummableFamily.le_hsum_su…HahnSeries.SummableFamily.support_hsum_subset · cited by 1SummableFamily.support_hs…HahnSeries.embDomain_mul · cited by 0HahnSeries.embDomain_mulSet · cited by 53352SetPartialOrder · cited by 6410PartialOrderHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffHahnSeries.support · cited by 84HahnSeries.supportHahnSeries.mem_supportCITED BYCITES

Cites5

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Cited by10

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