Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Hopf Extension Theorem of Measure
Endou, Noboru, 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
Real Vector Space and Related Notions
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Cartesian Products of Family of Real Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Differentiable Functions into Real Normed Spaces
Okazaki, Hiroyuki, Endou, Noboru, Narita, Keiko, Shidama, Yasunari