Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
More on Continuous Functions on Normed Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Separable Version of Banach–Alaoglu Theorem
Okazaki, Hiroyuki, Mieno, Takehiko
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari