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Intuitionistic Type Theory by Per Martin-Loef
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Intuitionistic Type Theory
by Per Martin-Loef
Number of pages: 57
Contents: Introductory remarks; Propositions and judgements; Explanations of the forms of judgement; Propositions; Rules of equality; Hypothetical judgements and substitution rules; Judgements with more than one assumption and contexts; Sets and categories; General remarks on the rules; Cartesian product of a family of sets; Definitional equality; Applications of the cartesian product; Disjoint union of a family of sets; Applications of the disjoint union; The axiom of choice; The notion of such that; Disjoint union of two sets; Propositional equality; Finite sets; Consistency; Natural numbers; Lists; Wellorderings; Universes.