- Define set-like notation `{[+ x1; ..; xn ]}` for multisets in terms of the new
  singleton class and disjoint union `⊎`.
- Remove `SemiSet` instance for multisets.
- Prove lemmas regarding `∈` and `∉` for multisets since we no longer get the
  generic versions for sets.
- Provide `SetUnfoldElemOf` instances for multisets since we no longer get the
  generic versions for sets.
- Prove lemmas new regarding `∈` and `∉` for `∩`

Fixes #100, #98 and #87.

This MR is an alternative to !232.

Based on
https://github.com/coq/coq/issues/9058#issuecomment-496479506.

Fixes new Coq master warning deprecated-hint-without-locality.

These were very specific, there were no lemmas about them. They were used
back in the days for some specific things in my C semantics.

Fix in preparation for https://github.com/coq/coq/pull/13188

Tej Chajed authored 4 years ago and Robbert Krebbers committed 4 years ago

Set Default Goal Selector "!" makes it illegal to ever apply a tactic
with more than one goal (instead, must focus with bullets or braces).

Hugo Herbelin authored 4 years ago and Robbert Krebbers committed 4 years ago

This is a consequence of Coq PR #12950 which gives to import the
effect of reactivating the imported notations.

Use that in place of the old encoding:
iris/stdpp#70 (comment 52817)

Requires dropping support for Coq 8.7.

Fixes #67.

This was done using `sed --in-place 's/[[:space:]]\+$//' theories/*.v`.

This follows iris/iris!387
This closes issue #54.

This closes issue #49.

Dan Frumin authored 5 years ago and Robbert Krebbers committed 5 years ago

In accordance with
<iris/stdpp!93>

There are not documented in
https://coq.inria.fr/refman/addendum/type-classes.html?highlight=class#coq:cmd.class,
and they don't have any advantage, so it's better to stop using them.

For example, change `(!! i)` into `(.!! x)` so that `!!` can also be used as
a prefix, as done in VST for example.

This closes issue #42.

I have used the `sed` script below. This script took care of nearly all uses
apart from a few occurrences where a space was missing, e.g. `(,foo)`. In
this case, `coqc` will just fail, allowing one to patch up things manually.

The script is slightly too eager on Iris developments, where it also replaces
`($ ...)` introduction patterns. When porting Iris developments you thus may
want to remove the line for `$`.

```
sed '
s/(= /(.= /g;
s/ =)/ =.)/g;
s/(≠ /(.≠ /g;
s/ ≠)/ ≠.)/g;
s/(≡ /(.≡ /g;
s/ ≡)/ ≡.)/g;
s/(≢ /(.≢ /g;
s/ ≢)/ ≢.)/g;
s/(∧ /(.∧ /g;
s/ ∧)/ ∧.)/g;
s/(∨ /(.∨ /g;
s/ ∨)/ ∨.)/g;
s/( /(. /g;
s/ )/ .)/g;
s/(→ /(.→ /g;
s/ →)/ →.)/g;
s/($ /(.$ /g;
s/(∘ /(.∘ /g;
s/ ∘)/ ∘.)/g;
s/(, /(., /g;
s/ ,)/ ,.)/g;
s/(∘ /(.∘ /g;
s/ ∘)/ ∘.)/g;
s/(∪ /(.∪ /g;
s/ ∪)/ ∪.)/g;
s/(⊎ /(.⊎ /g;
s/ ⊎)/ ⊎.)/g;
s/(∩ /(.∩ /g;
s/ ∩)/ ∩.)/g;
s/(∖ /(.∖ /g;
s/ ∖)/ ∖.)/g;
s/(⊆ /(.⊆ /g;
s/ ⊆)/ ⊆.)/g;
s/(⊈ /(.⊈ /g;
s/ ⊈)/ ⊈.)/g;
s/(⊂ /(.⊂ /g;
s/ ⊂)/ ⊂.)/g;
s/(⊄ /(.⊄ /g;
s/ ⊄)/ ⊄.)/g;
s/(∈ /(.∈ /g;
s/ ∈)/ ∈.)/g;
s/(∉ /(.∉ /g;
s/ ∉)/ ∉.)/g;
s/(≫= /(.≫= /g;
s/ ≫=)/ ≫=.)/g;
s/(!! /(.!! /g;
s/ !!)/ !!.)/g;
s/(⊑ /(.⊑ /g;
s/ ⊑)/ ⊑.)/g;
s/(⊓ /(.⊓ /g;
s/ ⊓)/ ⊓.)/g;
s/(⊔ /(.⊔ /g;
s/ ⊔)/ ⊔.)/g;
s/(:: /(.:: /g;
s/ ::)/ ::.)/g;
s/(++ /(.++ /g;
s/ ++)/ ++.)/g;
s/(≡ₚ /(.≡ₚ /g;
s/ ≡ₚ)/ ≡ₚ.)/g;
s/(≢ₚ /(.≢ₚ /g;
s/ ≢ₚ)/ ≢ₚ.)/g;
s/(::: /(.::: /g;
s/ :::)/ :::.)/g;
s/(+++ /(.+++ /g;
s/ +++)/ +++.)/g;
' -i $(find -name "*.v")
```