Theorems · Theorem · measure theory
ENNReal.hasSum_lt
∀ {α : Type u_1} {f g : α → ENNReal} {sf sg : ENNReal} {i : α},
(∀ (a : α), f a ≤ g a) → f i < g i → sf ≠ ⊤ → HasSum f sf → HasSum g sg → sf < sg- Cited by
- 1 results in Mathlib
- Foundations
- Depth 133 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealproof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- ENNReal.ofNNRealproof · cited by 1,279
- HasSumstatement and proof · cited by 518
- lt_of_le_of_ltproof · cited by 432
- le_topproof · cited by 411
- lt_of_le_of_neproof · cited by 230
- ne_of_ltproof · cited by 203
- HasSum.tsum_eqproof · cited by 150
- ENNReal.ne_top_of_tsum_ne_topproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.tsum_lt_tsumproof · cited by 1