Abstract
We describe formalization of the Poincare disc model of hyperbolic geometry within the Isabelle/HOL proof assistant. The model is defined within the complex projective line $$\mathbb {C}{}P^1$$ and is shown to satisfy Tarski’s axioms except for Euclid’s axiom—it is shown to satisfy it’s negation, and, moreover, to satisfy the existence of limiting parallels axiom.
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