Theorems · Theorem · sequences and series
tsum_geometric_of_abs_lt_one
∀ {r : ℝ}, |r| < 1 → ∑' (n : ℕ), r ^ n = (1 - r)⁻¹- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- SummationFilter.unconditionalstatement · cited by 2,068
- absstatement and proof · cited by 1,814
- tsumstatement · cited by 1,148
- tsum_geometric_of_norm_lt_oneproof · cited by 6
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