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Theorems · Theorem · commutative algebra

HahnSeries.coeff_fun_eq_zero_iff

∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] {x : HahnSeries Γ R}, x.coeff = 0 ↔ x = 0
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
2 results in Mathlib
Foundations
Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderZero
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HahnSeries.support_nonempty_iff · cited by 28HahnSeries.support_nonemp…HahnSeries.support_eq_empty_iff · cited by 0HahnSeries.support_eq_emp…PartialOrder · cited by 6410PartialOrderHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffHahnSeries.coeff_injective · cited by 2HahnSeries.coeff_injectiveHahnSeries.coeff_fun_eq_zero_…CITED BYCITES

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Cited by2

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