Tarski Geometry Axioms. Part V – Half-planes and Planes

Abstract

Summary In the article, we continue the formalization of the work devoted to Tarski’s geometry – the book “Metamathematische Methoden in der Geometrie” by W. Schwabhäuser, W. Szmielew, and A. Tarski. We use the Mizar system to formalize Chapter 9 of this book. We deal with half-planes and planes proving their properties as well as the theory of intersecting lines.