The types of propositions for monPred lemma need to be [monPred I PROP] and not [bi_car (monPredI I PROP)], otherwise iIntoValid fails in a very weird way. Seems to be related to a Coq bug.

BiIndexBottom class for bottom element in a bi index. monPred_all is a monoid morphism, and related big op lemmas.

Reorganize bi.monpred. Add unfolding manual lemmas for monPred_at, and use them in proofmode.monpred. Add big op lemmas for monpred_at.

Type classes for updates properties

See merge request FP/iris-coq!106

Special proof mode class for adding a modality to a goal

See merge request FP/iris-coq!107

This used to be done by using `ElimModal` in backwards direction. Having
a separate type class for this gets rid of some hacks:

- Both `Hint Mode`s in forward and backwards direction for `ElimModal`.
- Weird type class precedence hacks to make sure the right instance is picked.
  These were needed because using `ElimModal` in backwards direction caused
  ambiguity.

Use [notypeclasses refine] instead of eapply in iLöb and iNext, to workaround the confusion of apply wrt canonical structures.

This was an oversight in !63.

Construct BI on monotone function spaces.

See merge request FP/iris-coq!92

Proof mode support for monotonous predicates.

See merge request FP/iris-coq!100

Trying to improve IntoWand for monPred_car: whenever it's possible, we try to change the view automatically.