Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Banach Algebra of Bounded Complex-Valued Functionals
Kanazashi, Katuhiko, Okazaki, Hiroyuki, Shidama, Yasunari
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
Extended Euclidean Algorithm and CRT Algorithm
Okazaki, Hiroyuki, Aoki, Yosiki, Shidama, Yasunari
Higher-Order Partial Differentiation
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Commutative Groups
Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Integral Linear Space
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari