Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
Okazaki, Hiroyuki, Shidama, Yasunari
Properties of Primes and Multiplicative Group of a Field
Arai, Kenichi, Okazaki, Hiroyuki
Formalization of Integral Linear Space
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Formalization of Separable Version of Banach–Alaoglu Theorem
Okazaki, Hiroyuki, Mieno, Takehiko
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari