Theorems · Theorem · sequences and series
tsum_geometric_lt_top
∀ {r : ENNReal}, ∑' (n : ℕ), r ^ n < ⊤ ↔ r < 1- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 138 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- ENNReal.tsum_geometricproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.