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• library: map.MapPermut now defined using map.Occ · ca0ec4aa
Jean-Christophe Filliâtre authored
```(that is, using number of occurrences)
No more definition of permutation using inductive predicates.
Impacts array.ArrayPermut; proof sessions updated.
Coq realizations for map.Occ and map.MapPermut;
proof session for array.ArrayPermut in progress```
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• "eliminate_epsilon" added in drivers · 9c20cd7c
```Currently, the builtin theory why3.HighOrd (or just HighOrd) must
be explicitly "use"-d. However, the type (HighOrd.func 'a 'b) can
be written ('a -> 'b), and the type (HighOrd.pred 'a) can be written
('a -> bool), and the application operation (HighOrd.(@)) can be
written as the usual juxtaposition. Thus, normally, you do not have
to write the qualifiers. The builtin theory why3.Bool (or just Bool)
is needed for "bool". The names "HighOrd", "func", "pred", and "(@)"
are not yet fixed and may change.

"eliminate_epsilon" tries to be smart when a lambda (or some other
comprehension form) occurs under equality or at the top of a definition.
We could go even further and replace (\ x . t) s with t[x <- s], without
lifting the lambda. I'm not sure it's worth it: we rarely write redexes
manually. They can and will appear through inlining, though.

Anyone who wants to construct epsilon-terms directly using the API
should remember that these are not Hilbert's epsilons: by writing
an epsilon term, you postulate the existence (though not necessarily
uniqueness) of the described object, and "eliminate_epsilon" will
happily convert it to an axiom expressing this existence. We only
use epsilons to write comprehensions whose soundness is guaranteed
by a background theory, e.g. lambda-calculus.```
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• switch Typing to the new Dterm-based API · 460e93f8
```Also: