Map · 40
sequences and series
MSC 40 · Sequences, series, summability
1,247 declarations (1,190 theorems, 57 definitions) across 21 files. 0 of the 3 famous theorems listed for this area are in Mathlib (0%). 10 open conjectures here are stated in Lean.
Files are assigned to areas by a language model reading each file's documentation. Report a file that is in the wrong area.
Subareas1
- 40A Convergence and divergence of infinite limiting processes 1,247
Famous theorems0 of 3
From the 1000+ theorems project, which classifies each theorem by MSC area.
Not yet in Mathlib · 3
From the 100 theorems list2
Open conjectures stated in Lean10
Statements without proofs, collected by the Formal Conjectures project.
- Erdos243.erdos_243Erdős Problems
- Erdos342.erdos_342.parts.iErdős Problems
- Erdos342.erdos_342.parts.iiErdős Problems
- Erdos342.erdos_342.parts.iiiErdős Problems
Structures defined here4
Typeclasses defined in this area's files, most assumed first.
Files21
Largest first. The code after each file is its assigned subarea.
- Mathlib.Topology.Algebra.InfiniteSum.Basic
Lemmas on infinite sums and products in topological monoids
40A · 224
- Mathlib.Topology.Algebra.InfiniteSum.UniformOn
Infinite sum and products that converge uniformly
40A · 138
- Mathlib.Topology.Algebra.InfiniteSum.NatInt
Infinite sums and products over `ℕ` and `ℤ`
40A · 111
- Mathlib.Topology.Algebra.InfiniteSum.Group
Infinite sums and products in topological groups
40A · 103
- Mathlib.Analysis.SpecificLimits.Normed
A collection of specific limit computations
40A · 93
- Mathlib.Analysis.SpecificLimits.Basic
A collection of specific limit computations
40A · 89
- Mathlib.Topology.Algebra.InfiniteSum.Order
Infinite sum or product in an order
40A · 87
- Mathlib.Topology.Algebra.InfiniteSum.Constructions
Topological sums and functorial constructions
40A · 74
- Mathlib.Topology.Algebra.InfiniteSum.Defs
Infinite sum and product in a topological monoid
40A · 62
- Mathlib.Topology.Algebra.InfiniteSum.SummationFilter
Summation filters
40A · 54
- Mathlib.Topology.Algebra.InfiniteSum.Ring
Infinite sum in a ring
40A · 40
- Mathlib.Analysis.PSeries
Convergence of `p`-series
40A · 37