This reverts commit b115ff3f.

    The idea on magic wand is to use it for curried lemmas and use ⊢ for uncurried lemmas.

Robbert Krebbers authored 8 years ago and Ralf Jung committed 8 years ago

We do this by introducing a type class UpClose with notation ↑.

The reason for this change is as follows: since `nclose : namespace
→ coPset` is declared as a coercion, the notation `nclose N ⊆ E` was
pretty printed as `N ⊆ E`. However, `N ⊆ E` could not be typechecked
because type checking goes from left to right, and as such would look
for an instance `SubsetEq namespace`, which causes the right hand side
to be ill-typed.

Use COFEs only for the recursive domain equation solver

The old name didn't make much sense. Also now we can have
pure_False too.

This reverts commit 2a7755fe because
it is no longer needed after Matthieu Sozeau reverted this change in
Coq 8.6. See also the discussion:

  [Coq-Club] Coq 8.6 typeclasses behavior change

at 11/16/2016 02:14 PM.

In Coq 8.6 type class search is not called recursively on premises
that are not type classes. To that end, we use a hint extern to invoke
an ordinary auto.

This reverts commit f3222ba2 because
it broke the machinery for determining whether a term is closed.

Example, by Morten:

  Definition dummy : val :=
    λ: <>, #true || #false.

The old choice for ★ was a arbitrary: the precedence of the ASCII asterisk *
was fixed at a wrong level in Coq, so we had to pick another symbol. The ★ was
a random choice from a unicode chart.

The new symbol ∗ (as proposed by David Swasey) corresponds better to
conventional practise and matches the symbol we use on paper.

This should make theme asier to parse, "{{{ v, v; l |-> v }}}" looks rather funny.

Now we try to avoid adding them unnecessarily, so we don't have to remove them automatically any more.

Otherwise, some ifs are being pretty printed as || or &&.