Theorems · Theorem · measure theory
NNReal.hasSum_lt
∀ {α : Type u_1} {f g : α → NNReal} {sf sg : NNReal} {i : α},
(∀ (a : α), f a ≤ g a) → f i < g i → HasSum f sf → HasSum g sg → sf < sg- Cited by
- 3 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- NNReal.toRealproof · cited by 1,260
- HasSumstatement and proof · cited by 518
- NNReal.coe_le_coeproof · cited by 73
- NNReal.coe_lt_coeproof · cited by 21
- NNReal.hasSum_coeproof · cited by 8
- hasSum_ltproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.tsum_lt_tsumproof · cited by 2
- ENNReal.hasSum_ltproof · cited by 1
- NNReal.hasSum_strict_monoproof · cited by 0