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      Reflections on the Foundations of Mathematics : Univalent Foundations, Set Theory and General Thoughts 

      Formalising Mathematics in Simple Type Theory

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      Springer International Publishing

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          Isabelle/HOL

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            A formulation of the simple theory of types

            The purpose of the present paper is to give a formulation of the simple theory of types which incorporates certain features of the calculus of λ-conversion. A complete incorporation of the calculus of λ-conversion into the theory of types is impossible if we require that λx and juxtaposition shall retain their respective meanings as an abstraction operator and as denoting the application of function to argument. But the present partial incorporation has certain advantages from the point of view of type theory and is offered as being of interest on this basis (whatever may be thought of the finally satisfactory character of the theory of types as a foundation for logic and mathematics).
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              A Machine-Checked Proof of the Odd Order Theorem

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                2019
                November 12 2019
                : 437-453
                10.1007/978-3-030-15655-8_20
                55f66006-7fba-4727-b9d8-af16047acf7d
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