Theorems · Theorem · sequences and series
NNReal.summable_condensed_iff
∀ {f : ℕ → NNReal}, (∀ ⦃m n : ℕ⦄, 0 < m → m ≤ n → f n ≤ f m) → ((Summable fun k => 2 ^ k * f (2 ^ k)) ↔ Summable f)- Defined in
- Mathlib.Analysis.PSeries
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- AddCommMonoidproof · cited by 12,281
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summablestatement and proof · cited by 778
- SummationFilterproof · cited by 607
- Nat.cast_addproof · cited by 586
- pow_succproof · cited by 374
- pow_posproof · cited by 292
- two_ne_zeroproof · cited by 251
- two_mulproof · cited by 232
- add_tsub_cancel_rightproof · cited by 172
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