| # Irrationality of Catalan’s constant | |
| The following describes the scope of the Lean formalization related to the following accompanying paper(s): | |
| - [Catalan's constant is irrational](../../preprints/Catalans-constant-is-irrational-September-24-2026/paper.pdf) | |
| ## Scope | |
| The formalization proves that Catalan's constant $G=\sum_{j=0}^{\infty}(-1)^j/(2j+1)^2$ is irrational. This is the mathematical assertion in the paper's title. | |
| ## Comparator links | |
| | Result | Comparator statement | | |
| | --- | --- | | |
| | Irrationality of Catalan's constant | [Catalan.lean](../ComparatorChallenges/Catalan.lean) | | |