GitLab

Using this new typing, prove the stronger soundness statement, moving the evaluation to the conclusion of the theorems.

New typing, proved sound. Also, expressions do not contain machine precision anymore in the case of variables

I also simplified the double pattern matchings used in Expressions.v

Typing of expressions is done. However, there are still some admits in the proofs, to be fixed in the following days.

/ ! \ not compiling

Port of Interval Validation to mixed precision. Needed some auxiliary lemmas related to the typing of expressions.

/!\ Does not compile

Rework evaluation semantics to not be arguing about precondition, make this explicit in the theorem, that we assume it. Admitted proofs that are obvious