Theorems · Theorem · number theory
Nat.geom_sum_Ico_le
∀ {b : ℕ}, 2 ≤ b → ∀ (a n : ℕ), ∑ i ∈ Finset.Ico 1 n, a / b ^ i ≤ a / (b - 1)- Defined in
- Mathlib.Algebra.Order.Ring.GeomSum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Finset.sumstatement and proof · cited by 5,195
- mul_oneproof · cited by 3,885
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- add_commproof · cited by 1,535
- pow_zeroproof · cited by 1,094
- Finset.Icostatement and proof · cited by 450
- mul_addproof · cited by 413
- Finset.sum_insertproof · cited by 196
- add_tsub_cancel_of_leproof · cited by 79
- add_le_add_iff_leftproof · cited by 45
Cited by2
Results whose statement or proof uses this declaration.
- Nat.Prime.emultiplicity_factorial_le_div_predproof · cited by 0
- Nat.factorization_factorial_le_div_predproof · cited by 0