I also reverted 7952bca4 since there is no need for atomic to be a
boolean predicate anymore. Moreover, I introduced a hint database
fsaV for solving side-conditions related to FSAs, in particular,
side-conditions related to expressions being atomic.

The intropattern {H} also meant clear (both in ssreflect, and the logic
part of the introduction pattern).

That way type class search becomes more predictable.

For example iIntros "{$H1 H2} H1" frames H1, clears H2, and introduces H1.

This fixes a bug in 916ff44a causing proof mode notations not being
pretty printed.

This tweak allows us to declare pvs as an instance of FromPure (it is not
an instance of IntoPure), making some tactics (like iPureIntro and done)
work with pvs too.

We are now using the prefixes Into, From, and Is (the first two are
inspired by the names of some traits in the Rust stdlib), and hopefully
doing that consistenly.

This is more consistent with the proofmode, where we also call it pure.

This introduces n hypotheses and destructs the nth one.

We used => before, which is strange, because it has another meaning
in ssreflect.

Generating a fresh name consists of two stages:
+ Use [cbv] to compute a list representing the domain of the environment. This
  is a very simply computation that just erases the hypotheses.
+ Use [vm_compute] to compute a fresh name based on the list representing the
  domain. The domain itself should never contain evars, so [vm_compute] will
  do the job.

be the same as .

This is a fairly intrusive change, but at least makes notations more
consistent, and often shorter because fewer parentheses are needed. Note
that viewshifts already had the same precedence as →.

It used to be: (P ={E}=> Q) := (True ⊢ (P → |={E}=> Q))
Now it is: (P ={E}=> Q) := (P ⊢ |={E}=> Q)

It is now able to destruct:
- [own γ (a1 ⋅ a1)] into [own γ a1] and [own γ a2]
- [own γ a] into [own γ a] and [own γ a] if [a] is persistent
- [own γ (a,b)] by proceeding recursively.
- [own γ (Some a)] by preceeding resursively.

Rationale: to make the code closer to what is on paper, I want the notations
to look like quantifiers, i.e. have a binder built-in. I thus introduced the
following notations:

  [★ map] k ↦ x ∈ m, P
  [★ set] x ∈ X, P

The good thing - contrary to the notations that we had before that required an
explicit lambda - is that type annotations of k and x are now not printed
making goals much easier to read.

To do so, we have introduced the specialization patterns:

  =>[H1 .. Hn] and =>[-H1 .. Hn]

That generate a goal in which the view shift is preserved. These specialization
patterns can also be used for e.g. iApply.

Note that this machinery is not tied to primitive view shifts, and works for
various kinds of goal (as captured by the ToAssert type class, which describes
how to transform the asserted goal based on the main goal).

TODO: change the name of these specialization patterns to reflect this
generality.