make "make quick" quick by adding hints about the used section variables

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

theories/algebra/agree.v

 From iris.algebra Require Export cmra.
 From iris.algebra Require Import list.
 From iris.base_logic Require Import base_logic.
+(* FIXME: This file needs a 'Proof Using' hint. *)
+
 Local Arguments validN _ _ _ !_ /.
 Local Arguments valid _ _  !_ /.
 Local Arguments op _ _ _ !_ /.

theories/algebra/auth.v

 From iris.algebra Require Export excl local_updates.
 From iris.base_logic Require Import base_logic.
 From iris.proofmode Require Import classes.
+Set Default Proof Using "Type*".
 
 Record auth (A : Type) := Auth { authoritative : excl' A; auth_own : A }.
 Add Printing Constructor auth.

theories/algebra/base.v

 From mathcomp Require Export ssreflect.
 From iris.prelude Require Export prelude.
+Set Default Proof Using "Type*".
 Global Set Bullet Behavior "Strict Subproofs".
 Global Open Scope general_if_scope.
-Ltac done := prelude.tactics.done.
\ No newline at end of file
+Ltac done := prelude.tactics.done.

theories/algebra/cmra.v

 From iris.algebra Require Export ofe.
+Set Default Proof Using "Type*".
 
 Class PCore (A : Type) := pcore : A → option A.
 Instance: Params (@pcore) 2.

theories/algebra/cmra_big_op.v

 From iris.algebra Require Export cmra list.
 From iris.prelude Require Import functions gmap gmultiset.
+Set Default Proof Using "Type*".
 
 (** The operator [ [⋅] Ps ] folds [⋅] over the list [Ps]. This operator is not a
 quantifier, so it binds strongly.

theories/algebra/cmra_tactics.v

 From iris.algebra Require Export cmra.
 From iris.algebra Require Import cmra_big_op.
+Set Default Proof Using "Type*".
 
 (** * Simple solver for validity and inclusion by reflection *)
 Module ra_reflection. Section ra_reflection.

theories/algebra/coPset.v

 From iris.algebra Require Export cmra.
 From iris.algebra Require Import updates local_updates.
 From iris.prelude Require Export collections coPset.
+Set Default Proof Using "Type*".
 (** This is pretty much the same as algebra/gset, but I was not able to
 generalize the construction without breaking canonical structures. *)
 

theories/algebra/cofe_solver.v

 From iris.algebra Require Export ofe.
+Set Default Proof Using "Type*".
 
 Record solution (F : cFunctor) := Solution {
   solution_car :> ofeT;

theories/algebra/csum.v

 From iris.algebra Require Export cmra.
 From iris.base_logic Require Import base_logic.
 From iris.algebra Require Import local_updates.
+Set Default Proof Using "Type*".
 Local Arguments pcore _ _ !_ /.
 Local Arguments cmra_pcore _ !_ /.
 Local Arguments validN _ _ _ !_ /.

theories/algebra/deprecated.v

 From iris.algebra Require Import ofe cmra.
+Set Default Proof Using "Type*".
 
 (* Old notation for backwards compatibility. *)
 

theories/algebra/dra.v

 From iris.algebra Require Export cmra updates.
+Set Default Proof Using "Type*".
 
 Record DRAMixin A `{Equiv A, Core A, Disjoint A, Op A, Valid A} := {
   (* setoids *)

theories/algebra/excl.v

 From iris.algebra Require Export cmra.
 From iris.base_logic Require Import base_logic.
+Set Default Proof Using "Type*".
 Local Arguments validN _ _ _ !_ /.
 Local Arguments valid _ _  !_ /.
 

theories/algebra/frac.v

 From Coq.QArith Require Import Qcanon.
 From iris.algebra Require Export cmra.
+Set Default Proof Using "Type*".
 
 Notation frac := Qp (only parsing).
 

theories/algebra/gmap.v

@@ -2,6 +2,7 @@ From iris.algebra Require Export cmra.
 From iris.prelude Require Export gmap.
 From iris.algebra Require Import updates local_updates.
 From iris.base_logic Require Import base_logic.
+Set Default Proof Using "Type*".
 
 Section cofe.
 Context `{Countable K} {A : ofeT}.

theories/algebra/gset.v

 From iris.algebra Require Export cmra.
 From iris.algebra Require Import updates local_updates.
 From iris.prelude Require Export collections gmap mapset.
+Set Default Proof Using "Type*".
 
 (* The union CMRA *)
 Section gset.

theories/algebra/iprod.v

 From iris.algebra Require Export cmra.
 From iris.base_logic Require Import base_logic.
 From iris.prelude Require Import finite.
+Set Default Proof Using "Type*".
 
 (** * Indexed product *)
 (** Need to put this in a definition to make canonical structures to work. *)

theories/algebra/list.v

@@ -2,6 +2,7 @@ From iris.algebra Require Export cmra.
 From iris.prelude Require Export list.
 From iris.base_logic Require Import base_logic.
 From iris.algebra Require Import updates local_updates.
+Set Default Proof Using "Type*".
 
 Section cofe.
 Context {A : ofeT}.

theories/algebra/local_updates.v

 From iris.algebra Require Export cmra.
+Set Default Proof Using "Type*".
 
 (** * Local updates *)
 Definition local_update {A : cmraT} (x y : A * A) := ∀ n mz,

theories/algebra/ofe.v

 From iris.algebra Require Export base.
+Set Default Proof Using "Type*".
 
 (** This files defines (a shallow embedding of) the category of OFEs:
     Complete ordered families of equivalences. This is a cartesian closed

theories/algebra/sts.v

 From iris.prelude Require Export set.
 From iris.algebra Require Export cmra.
 From iris.algebra Require Import dra.
+Set Default Proof Using "Type*".
 Local Arguments valid _ _ !_ /.
 Local Arguments op _ _ !_ !_ /.
 Local Arguments core _ _ !_ /.