Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Normal Subgroup of Product of Groups
Okazaki, Hiroyuki, Arai, Kenichi, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Commutative Groups
Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order
Yamazaki, Hiroshi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Hopf Extension Theorem of Measure
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Differentiable Functions into Real Normed Spaces
Okazaki, Hiroyuki, Endou, Noboru, Narita, Keiko, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki