Mathlib Map

Theorems · Theorem · commutative algebra

HahnSeries.leadingCoeff_eq

∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : Zero Γ] {x : HahnSeries Γ R},
  x.leadingCoeff = x.coeff x.order
Defined in
Mathlib.RingTheory.HahnSeries.Basic
Cited by
3 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderZeroZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HahnSeries.leadingCoeff_mul_of_ne_zero · cited by 2HahnSeries.leadingCoeff_m…HahnSeries.order_lt_order_of_eq_add_single · cited by 1HahnSeries.order_lt_order…HahnSeries.leadingCoeff_one · cited by 1HahnSeries.leadingCoeff_o…PartialOrder · cited by 6410PartialOrderWithTop.some · cited by 1128WithTop.someHahnSeries · cited by 528HahnSeriesHahnSeries.coeff · cited by 235HahnSeries.coeffHahnSeries.orderTop · cited by 103HahnSeries.orderTopHahnSeries.order · cited by 52HahnSeries.orderHahnSeries.leadingCoeff · cited by 49HahnSeries.leadingCoeffSet.IsWF.min · cited by 47IsWF.minHahnSeries.isWF_support · cited by 33HahnSeries.isWF_supportHahnSeries.support_nonempty_iff · cited by 28HahnSeries.support_nonemp…HahnSeries.orderTop_of_ne_zero · cited by 17HahnSeries.orderTop_of_ne…HahnSeries.order_of_ne · cited by 13HahnSeries.order_of_neHahnSeries.orderTop_ne_top · cited by 13HahnSeries.orderTop_ne_topHahnSeries.leadingCoeff_zero · cited by 12HahnSeries.leadingCoeff_z…HahnSeries.leadingCoeff_of_ne_zero · cited by 11HahnSeries.leadingCoeff_o…HahnSeries.leadingCoeff_eqCITED BYCITES

Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.