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Theorems · Theorem · commutative algebra

HahnSeries.coeff_single_of_ne

∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {a b : Γ} {r : R},
  b ≠ a → ((HahnSeries.single a) r).coeff b = 0
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
9 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderZero
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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.coeff_single · cited by 4HahnSeries.coeff_singleHahnSeries.embDomain_single · cited by 2HahnSeries.embDomain_sing…HahnEmbedding.Partial.apply_of_mem_stratum · cited by 1Partial.apply_of_mem_stra…LaurentSeries.hasseDeriv_single_add · cited by 1LaurentSeries.hasseDeriv_…HahnSeries.map_single · cited by 1HahnSeries.map_singleHahnSeries.order_lt_order_of_eq_add_single · cited by 1HahnSeries.order_lt_order…HahnSeries.coeff_toOrderTopSubOnePos_pow · cited by 0HahnSeries.coeff_toOrderT…HahnSeries.map_C · cited by 0HahnSeries.map_CDFunLike.coe · cited by 62936DFunLike.coePartialOrder · cited by 6410PartialOrderHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffZeroHom · cited by 161ZeroHomPi.single_eq_of_ne · cited by 116Pi.single_eq_of_neHahnSeries.single · cited by 82HahnSeries.singleHahnSeries.coeff_single_of_neCITED BYCITES

Cites7

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Cited by9

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