Add dependent type system, Tarski axiom, and bidirectional type checker #253
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…verse Structure - Added Cardinal.scala to define cardinality concepts including equinumerosity and dominance. - Introduced Universe.scala to establish the structural definition of Tarski/Grothendieck Universes. - Implemented UniverseRank.scala to define the level of a universe and its properties. - Created Predef.scala to export essential definitions from the cardinal package. - Updated Helper.scala, Examples.scala, Symbols.scala, and TypingRules.scala to integrate new cardinality and universe functionalities. - Added new theorems related to universes and cardinalities, including Cantor's theorem and the structure of universes.
…mbols with proposition variable
…rse structure theorem
… handling and subset relations
…etup instructions
SimonGuilloud
approved these changes
Jan 29, 2026
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app,abs, andPidefinitions for dependent types.TVar,TAbs,TApp,TSort,TForm,TConv, and beta-reduction.universeOfto support nested universe polymorphism.Typecheck.provefor automated proof generation (bidirectional checking).id_comp).f(x)via implicit conversion.