The goal of this article is to formalize Ceva’s theorem that is in the [8] on the web. Alongside with it formalizations of Routh’s, Menelaus’ and generalized form of Ceva’s theorem itself are provided.Shakhtyorskaya 2, 453850 Meleuz, RussiaAgata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.Akihiro Kubo. Lines in n-dimensional Euclidean spaces. Formalized Mathematics, 11(4):371-376, 2003.Akihiro Kubo and Yatsuka Nakamura. Angle and triangle in Euclidian topological space. Formalized Mathematics, 11(3):281-287, 2003.Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathem...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
This article extends the [10]. We define the sum and the product of the sequence of complex numbers,...
In this paper we shall demonstrate a general mean-value theorem for \(B\) -differentiable functions....
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using th...
We formalize, in two different ways, that “the n-dimensional Euclidean metric space is a complete me...
AbstractThe concept of table algebra in the title is a real nonsingular generalized table algebra in...
SummaryIn this article we check, with the Mizar system [2], Pascal’s theorem in the real projective ...
AbstractAll indecomposable unimodular hermitian lattices in dimension 13 over the ring of integers i...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
Tim Makarios (with Isabelle/HOL1) and John Harrison (with HOL-Light2) shown that “the Klein-Beltrami...
SummaryIn the article we formalize in the Mizar system [4] preliminary facts needed to prove the Bas...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
In this article, we formalize operations of points on an elliptic curve over GF(p). Elliptic curve c...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
This article extends the [10]. We define the sum and the product of the sequence of complex numbers,...
In this paper we shall demonstrate a general mean-value theorem for \(B\) -differentiable functions....
We introduce the altitudes of a triangle (the cevians perpendicular to the opposite sides). Using th...
We formalize, in two different ways, that “the n-dimensional Euclidean metric space is a complete me...
AbstractThe concept of table algebra in the title is a real nonsingular generalized table algebra in...
SummaryIn this article we check, with the Mizar system [2], Pascal’s theorem in the real projective ...
AbstractAll indecomposable unimodular hermitian lattices in dimension 13 over the ring of integers i...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
Tim Makarios (with Isabelle/HOL1) and John Harrison (with HOL-Light2) shown that “the Klein-Beltrami...
SummaryIn the article we formalize in the Mizar system [4] preliminary facts needed to prove the Bas...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
In this article, we formalize operations of points on an elliptic curve over GF(p). Elliptic curve c...
We establish new refinements and improvements of Popoviciu’s inequality for n-convex functions using...
This article extends the [10]. We define the sum and the product of the sequence of complex numbers,...
In this paper we shall demonstrate a general mean-value theorem for \(B\) -differentiable functions....