Theorems · Theorem · commutative algebra
LaurentSeries.Cauchy.exists_lb_eventual_support
∀ {K : Type u_2} [inst : Field K] {ℱ : Filter (LaurentSeries K)},
Cauchy ℱ → ∃ N, ∀ᶠ (f : LaurentSeries K) in ℱ, ∀ n < N, f.coeff n = 0- Defined in
- Mathlib.RingTheory.LaurentSeries
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Fieldstatement and proof · cited by 7,404
- Set.ofPredproof · cited by 6,101
- Filter.Eventuallystatement · cited by 3,134
- Unitsproof · cited by 2,804
- SProd.sprodproof · cited by 1,750
- le_of_ltproof · cited by 1,175
- sub_zeroproof · cited by 938
- Multiplicativestatement and proof · cited by 875
- Function.supportproof · cited by 610
Cited by2
Results whose statement or proof uses this declaration.
- LaurentSeries.Cauchy.exists_lb_supportproof · cited by 2
- LaurentSeries.Cauchy.exists_lb_coeff_neproof · cited by 1