Also refactor the proofs to make better reuse of existing lemmas.

Fix iPoseProof on recursive lemmas (fix #274)

Closes #274

See merge request iris/iris!338

Paolo G. Giarrusso authored 5 years ago and Robbert Krebbers committed 5 years ago

When proving `foo` through a fixpoint, Coq's guardedness checker needs to see to
which arguments `foo` is applied. Opaque lemmas applied to `foo` itself prevent
that, so make them transparent.
* Make `IntoEmpValid` lemmas transparent.
* Expose application of `IntoEmpValid` instance to its argument.
* Add comment to `tac_pose_proof`

This MR brings back the type of `tac_pose_proof` to the one it had before !329.
Hence, this seems worth a comment.

`excl_auth` camera

See merge request iris/iris!328

Prophecy Erasure

See merge request iris/iris!275

This fixes the problem in iris/iris!275 (comment 42062)

Use `notypeclasses refine` in `iPoseProof*` helpers for `iDestruct`.

See merge request iris/iris!329

Add lemma `later_exist_except_0`.

See merge request iris/iris!337

Fix ssreflect warning on Coq 8.10

See merge request iris/iris!332

This fixes some issues in GPS and RustBelt-relaxed, where the old
unification algorithm is now too weak.

This is needed to fix RustBelt-related. Since type classes are no longer
over-eagerly resolved, the `biIndex` now sometimes contains an evar.

This test case arose in Iron.

Also, rewrite `iIntoEmpValid`. Now, instead of using Ltac to traverse
the type of the term and generate goals for the premises, we repeatedly
apply a series of lemmas. This has the advantage that it works up to
convertability, and we no longer need the `eval ...` hacks.

To prepare for https://github.com/coq/coq/pull/10762

Remove space before `;;` in format directive.

See merge request iris/iris!336

The space should not be there and was added in oversight. This also provides
forwards compatibility with https://github.com/coq/coq/pull/10832.

CAS -> CmpXchg in HeapLang tactic docs

See merge request iris/iris!334

Fix issue pointed out by @tchajed in iris/iris!330 (comment 41322)

Test for !331 and hint for `bi_emp_valid`

See merge request iris/iris!333