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This allows one to make use of recursive ghost state obtained from the
recursive domain equation solver.

This is in preparation for coq/coq#9274.

Rename `UCMRA` → `Ucmra`
Rename `CMRA` → `Cmra`
Rename `OFE` → `Ofe` (`Ofe` was already used partially, but many occurences were missing)
Rename `STS` → `Sts`
Rename `DRA` → `Dra`

Cancelable elements are a new way of proving local updates, by
removing some cancellable element of the global state, provided that
we own it and we are willing to lose this ownership.

Identity-free elements are an auxiliary that is necessary to prove that
[Some x] is cancelable.

For technical reasons, these two notions are not defined exactly like
what one might expect, but also take into account validity. Otherwise,
an exclusive element would not be cancelable or idfree, which is
rather confusing.

Also add "Local" to some Default Proof Using to keep them more contained

by Janno

This patch was created using

  find -name *.v | xargs -L 1 awk -i inplace '{from = 0} /^From/{ from = 1; ever_from = 1} { if (from == 0 && seen == 0 && ever_from == 1) { print "Set Default Proof Using \"Type*\"."; seen = 1 } }1 '

and some minor manual editing

Use COFEs only for the recursive domain equation solver

This is more consistent with the definition of the extension order, which
is also defined in terms of an existential.

Also, remove some unused lemmas about agree.

This may save the need to seal off some stuff.

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 →.

Based on an idea and WIP commits of J-H. Jourdan: the core of a CMRA
A is now a partial function A → option A.

TODO: define sum CMRA
TODO: remove one shot CMRA and define it in terms of sum