simplify_equality        => simplify_eq
simplify_equality'       => simplify_eq/=
simplify_map_equality    => simplify_map_eq
simplify_map_equality'   => simplify_map_eq/=
simplify_option_equality => simplify_option_eq
simplify_list_equality   => simplify_list_eq
f_equal'                 => f_equal/=

The /= suffixes (meaning: do simpl) are inspired by ssreflect.

Also, make our redefinition of done more robust under different
orders of Importing modules.

Also do some minor clean up.

First it would destruct on the decider, which sometimes would result
in unfolded hypotheses.

* This behavior is "implementation defined" and can be turned on and off
  using the Boolean field "alloc_can_fail" of the class "Env".
* The expression "EAlloc" is now an r-value of pointer type instead of an
  l-value.
* The executable semantics for expressions is now non-deterministic. Hence,
  some proofs had to be revised.

Now it only performs injection on hypotheses of the shape f .. = f ..

This allows for constant expressions in array sizes and makes way for
future extensions.

* Equality comparison of NULL and non NULL pointers should be defined
* Pointer comparisons, casts, and truth should only be defined for pointers
  that are alive
* Treat dead pointers as indeterminate values in refinements. The proofs that
  all operations preserve refinement indicate that dead pointers can be indeed
  by replaced by anything without affecting the program's behavior.

Major changes:
* Make void a base type, and include a proper void base value. This is necessary
  because expressions (free, functions without return value) can yield a void.
  We now also allow void casts conforming to the C standard.
* Various missing lemmas about typing, weakening, decidability, ...
* The operations "free" and "alloc" now operate on l-values instead of r-values.
  This removes some duplication.
* Improve notations of expressions and statements. Change the presence of the
  operators conforming to the C standard.

Small changes:
* Use the classes "Typed" and "TypeCheck" for validity of indexes in memory.
  This gives more uniform notations.
* New tactic "typed_inversion" performs inversion on an inductive predicate
  of type "Typed" and folds the premises.
* Remove a horrible hack in the definitions of the classes "FMap", "MBind",
  "OMap", "Alter" that was used to let "simpl" behave better. Instead, we have
  defined a tactic "csimpl" that folds the results after performing an
  ordinary "simpl".
* Fast operation to remove duplicates from lists using hashsets.
* Make various type constructors (mainly finite map implementations) universe
  polymorphic by packing them into an inductive. This way, the whole C syntax
  can live in type, avoiding the need for (slow) universe checks.

* Parametrize refinements with memories. This way, refinements imply typing,
  for example [w1 ⊑{Γ,f@m1↦m2} w2 : τ → (Γ,m1) ⊢ w1 : τ]. This relieves us from
  various hacks.
* Use addresses instead of index/references pairs for lookup and alter
  operations on memories.
* Prove various disjointness properties.

The refactoring includes:
* Use infix notations for the various list relations
* More consistent naming
* Put lemmas on one line whenever possible
* Change proofs into one-liners when possible
* Make better use of the "Implicit Types" command
* Improve the order of the list module by placing all definitions at the start,
  then the proofs, and finally the tactics.

Besides, there is some new machinery for proofs by reflection on lists. It is
used for a decision procedure for permutations and list containment.

Both the operational and axiomatic semantics are extended with sequence points
and a permission system based on fractional permissions. In order to achieve
this, the memory model has been completely revised, and is now built on top
of an abstract interface for permissions.

Apart from these changed, the library on lists and sets has been heavily
extended, and minor changed have been made to other parts of the prelude.

The development now corresponds exactly to the FoSSaCS 2013 paper.
Also, the prelude is updated to the one of the master branch.

* Define the standard strict order on pre orders.
* Prove that this strict order is well founded for finite sets and finite maps.
  We also provide some utilities to compute with well founded recursion.
* Improve the "simplify_option_equality" tactic to handle more cases.
* Axiomatize finiteness of finite maps by translation to lists, instead of by
  them having a finite domain.
* Prove many additional properties of finite maps.
* Add many functions and theorems on lists, including: permutations, resize,
  filter, ...

Most interestingly:
* Use [lia] instead of [omega] everywhere
* More many generic lemmas on the memory to the theory on finite maps.
* Many additional list lemmas.
* A new interface for a monad for collections, which is now also used by the
  collection tactics.
* Provide an additional finite collection implementation using unordered lists
  without duplicates removed. This implementation forms a monad (just the list
  monad in disguise).