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Theorems · Theorem · commutative algebra

HahnSeries.isWF_support

∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] (x : HahnSeries Γ R), x.support.IsWF
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
33 results in Mathlib
Foundations
Depth 33 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.orderTop · cited by 103HahnSeries.orderTopHahnSeries.order · cited by 52HahnSeries.orderHahnSeries.orderTop_of_ne_zero · cited by 17HahnSeries.orderTop_of_ne…HahnSeries.order_of_ne · cited by 13HahnSeries.order_of_neHahnSeries.leadingCoeff_of_ne_zero · cited by 11HahnSeries.leadingCoeff_o…HahnSeries.coeff_eq_zero_of_lt_orderTop · cited by 9HahnSeries.coeff_eq_zero_…HahnSeries.orderTop_neg · cited by 6HahnSeries.orderTop_negHahnSeries.orderTop_single · cited by 6HahnSeries.orderTop_singleHahnSeries.order_le_of_coeff_ne_zero · cited by 6HahnSeries.order_le_of_co…HahnSeries.coeff_orderTop_ne · cited by 5HahnSeries.coeff_orderTop…HahnSeries.order_single · cited by 4HahnSeries.order_singleHahnSeries.orderTop_add_eq_left · cited by 4HahnSeries.orderTop_add_e…HahnSeries.orderTop_le_of_coeff_ne_zero · cited by 4HahnSeries.orderTop_le_of…HahnSeries.order_eq_orderTop_of_ne_zero · cited by 4HahnSeries.order_eq_order…HahnSeries.order_mul_of_ne_zero · cited by 3HahnSeries.order_mul_of_n…PartialOrder · cited by 6410PartialOrderHahnSeries · cited by 528HahnSeriesHahnSeries.support · cited by 84HahnSeries.supportSet.IsWF · cited by 47Set.IsWFHahnSeries.isPWO_support · cited by 20HahnSeries.isPWO_supportSet.IsPWO.isWF · cited by 9IsPWO.isWFHahnSeries.isWF_supportCITED BYCITES

Cites6

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Cited by35

Results whose statement or proof uses this declaration.