We report on a formalization of the change of variables formula in integrals, in the mathlib library for Lean. Our version of this theorem is extremely general, and builds on developments in linear algebra, analysis, measure theory and descriptive set theory. The interplay between these domains is transparent thanks to the highly integrated development model of mathlib.
翻译:我们在利昂数学图书馆报告了组合体中变量公式变化的正规化情况。我们对这一理论的版本非常笼统,并基于线性代数、分析、测量理论和描述性集理论的发展。 由于数学高度一体化的发展模式,这些领域之间的相互作用是透明的。