Theorems · Theorem · sequences and series
tsum_geometric_encode_lt_top
∀ {r : ENNReal}, r < 1 → ∀ {ι : Type u_4} [inst : Encodable ι], ∑' (i : ι), r ^ Encodable.encode i < ⊤- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 138 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Encodable
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Cites10
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
- LE.le.trans_ltproof · cited by 795
- Encodablestatement and proof · cited by 140
- Encodable.encodestatement · cited by 118
- Encodable.encode_injectiveproof · cited by 8
- ENNReal.tsum_geometricproof · cited by 8
- ENNReal.tsum_comp_le_tsum_of_injectiveproof · cited by 4
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