Theorems · Theorem · complex analysis
Complex.sum_div_factorial_le
∀ {α : Type u_1} [inst : Field α] [inst_1 : LinearOrder α] [IsStrictOrderedRing α] (n j : ℕ),
0 < n → ∑ m ∈ Finset.range j with n ≤ m, 1 / ↑m.factorial ≤ ↑n.succ / (↑n.factorial * ↑n)- Defined in
- Mathlib.Analysis.Complex.Exponential
- Cited by
- 1 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.
Cites41
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Finset.sumstatement and proof · cited by 5,195
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Finset.sum_congrproof · cited by 2,323
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- add_commproof · cited by 1,535
- Finset.rangestatement and proof · cited by 1,341
- le_of_ltproof · cited by 1,175
Cited by1
Results whose statement or proof uses this declaration.
- Complex.exp_boundproof · cited by 6