Theorems · Theorem · real analysis
ENNReal.sum_lt_sum_of_nonempty
∀ {α : Type u_1} {s : Finset α}, s.Nonempty → ∀ {f g : α → ENNReal}, (∀ i ∈ s, f i < g i) → ∑ i ∈ s, f i < ∑ i ∈ s, g i- Defined in
- Mathlib.Data.ENNReal.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Finset.sum_singletonproof · cited by 251
- Finset.consproof · cited by 221
- Finset.sum_consproof · cited by 84
- Finset.mem_singleton_selfproof · cited by 44
- Finset.Nonempty.cons_inductionproof · cited by 35
- ENNReal.add_lt_addproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.exists_le_of_sum_leproof · cited by 1