Context: Weyl 's Predicative Classical Mathematics as a Logic - Enriched Type Theory . ( arXiv:0809.2061v1 [ cs . LO ] ) We construct a logic - enriched type theory LTTW that corresponds closely to the predicative system of foundations presented by Hermann Weyl in Das Kontinuum . We formalise many results from that book in LTTW , including Weyl 's definition of the cardinality of a set and several results from real analysis , using the proof assistant Plastic that implements the logical framework LF . This case study shows how type theory can be used to reprezsent a non - constructive foundation for mathematics .

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