Theorems · Theorem · real analysis
ENNReal.exists_le_of_sum_le
∀ {α : Type u_1} {s : Finset α}, s.Nonempty → ∀ {f g : α → ENNReal}, ∑ i ∈ s, f i ≤ ∑ i ∈ s, g i → ∃ i ∈ s, f i ≤ g i- Defined in
- Mathlib.Data.ENNReal.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- Finset.sumstatement and proof · cited by 5,195
- Finset.Nonemptystatement and proof · cited by 1,001
- ENNReal.sum_lt_sum_of_nonemptyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Besicovitch.exist_finset_disjoint_balls_large_measureproof · cited by 1