Theorems · Theorem · sequences and series
sum_geometric_two_le
∀ (n : ℕ), ∑ i ∈ Finset.range n, (1 / 2) ^ i ≤ 2
- Defined in
- Mathlib.Analysis.SpecificLimits.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finset.sumstatement and proof · cited by 5,195
- Nat.cast_oneproof · cited by 2,501
- SummationFilter.unconditionalproof · cited by 2,068
- Nat.cast_zeroproof · cited by 1,870
- Finset.rangestatement and proof · cited by 1,341
- tsumproof · cited by 1,148
- pow_nonnegproof · cited by 141
- Summable.sum_le_tsumproof · cited by 14
- summable_geometric_twoproof · cited by 7
- tsum_geometric_twoproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- controlled_closure_of_completeproof · cited by 1
- hoferproof · cited by 0