Also make those for introduction and elimination more symmetric:

  !%   pure introduction         %        pure elimination
  !#   always introduction       #        always elimination
  !>   later introduction        > pat    timeless later elimination
  !==> view shift introduction   ==> pat  view shift elimination

This commit features:

- A simpler model. The recursive domain equation no longer involves a triple
  containing invariants, physical state and ghost state, but just ghost state.
  Invariants and physical state are encoded using (higher-order) ghost state.

- (Primitive) view shifts are formalized in the logic and all properties about
  it are proven in the logic instead of the model. Instead, the core logic
  features only a notion of raw view shifts which internalizing performing frame
  preserving updates.

- A better behaved notion of mask changing view shifts. In particular, we no
  longer have side-conditions on transitivity of view shifts, and we have a
  rule for introduction of mask changing view shifts |={E1,E2}=> P with
  E2 ⊆ E1 which allows to postpone performing a view shift.

- The weakest precondition connective is formalized in the logic using Banach's
  fixpoint. All properties about the connective are proven in the logic instead
  of directly in the model.

- Adequacy is proven in the logic and uses a primitive form of adequacy for
  uPred that only involves raw views shifts and laters.

Some remarks:

- I have removed binary view shifts. I did not see a way to describe all rules
  of the new mask changing view shifts using those.
- There is no longer the need for the notion of "frame shifting assertions" and
  these are thus removed. The rules for Hoare triples are thus also stated in
  terms of primitive view shifts.

TODO:

- Maybe rename primitive view shift into something more sensible
- Figure out a way to deal with closed proofs (see the commented out stuff in
  tests/heap_lang and tests/barrier_client).

Prove some properties about it, and define timeless in terms of it,
and factor this notion out of raw view shifts.

1.) iDestruct is able turns  into two implications (because uPred_iff
    is (type classes) transparent).
2.) iApply only backtracks on turning P  Q into P → Q or Q → P when
    there are no future premises. This is not the case for
    'P  □ (P → False)'.

It not behaves more consistently with iExact and thus also works in the
case H : P -★ □^n Q |- Q.

show that even \later^n False is inconsistent (for any fixed n); properly use pvs in counter_examples

Also cleanup the file a bit.

ticket lock

@jung merge?

See merge request !1

The new updates allow allocation fresh elements satisfying an arbitrary
proposition (for example, being even) instead of just not being in a given
finite set.

TODO: maybe also do this for finite maps (gmaps).

This makes clear that we do not range over Coq terms.

This change makes it possible to use hlists in the proof mode, which
itself uses hlists in the implementation of the specialize tactic.