Theorems · Theorem · sequences and series
Multipliable.eventually_bounded_finsetProd
∀ {ι : Type u_1} {v : ι → ℝ}, Multipliable v → ∃ r₁ > 0, ∃ s₁, ∀ (t : Finset ι), s₁ ⊆ t → ∏ i ∈ t, v i ≤ r₁- Cited by
- 2 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Finsetstatement and proof · cited by 13,712
- Filter.Eventuallyproof · cited by 3,134
- Finset.prodstatement and proof · cited by 2,356
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- SummationFilterproof · cited by 607
- tprodproof · cited by 230
- Multipliablestatement and proof · cited by 213
- Filter.eventually_atTopproof · cited by 112
- SummationFilter.filterproof · cited by 110
- Multipliable.hasProdproof · cited by 88
- NoMaxOrder.exists_gtproof · cited by 62
Cited by2
Results whose statement or proof uses this declaration.
- multipliable_one_add_of_summableproof · cited by 4
- Multipliable.eventually_bounded_finset_prodproof · cited by 0