Theorems · Theorem · sequences and series
Set.Countable.exists_pos_forall_sum_le
∀ {ι : Type u_4} {s : Set ι},
s.Countable → ∀ {ε : ℝ}, 0 < ε → ∃ ε', (∀ (i : ι), 0 < ε' i) ∧ ∀ (t : Finset ι), ↑t ⊆ s → ∑ i ∈ t, ε' i ≤ ε- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Finset.sumstatement · cited by 5,195
- LE.le.transproof · cited by 3,151
- LT.lt.leproof · cited by 2,189
- SummationFilter.unconditionalproof · cited by 2,068
- Set.Countablestatement and proof · cited by 545
- HasSumproof · cited by 518
- Finset.subtypeproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- BoxIntegral.HasIntegral.of_bRiemann_eq_false_of_forall_isLittleOproof · cited by 2