more restrictive Proof Using hints in base_logic, algebra

theories/base_logic/lib/own.v

@@ -2,7 +2,7 @@ From iris.algebra Require Import iprod gmap.
 From iris.base_logic Require Import big_op.
 From iris.base_logic Require Export iprop.
 From iris.proofmode Require Import classes.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Import uPred.
 
 (** The class [inG Σ A] expresses that the CMRA [A] is in the list of functors

theories/base_logic/lib/saved_prop.v

 From iris.base_logic Require Export own.
 From iris.algebra Require Import agree.
 From iris.prelude Require Import gmap.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Import uPred.
 
 Class savedPropG (Σ : gFunctors) (F : cFunctor) :=

theories/base_logic/lib/sts.v

 From iris.base_logic.lib Require Export invariants.
 From iris.algebra Require Export sts.
 From iris.proofmode Require Import tactics.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Import uPred.
 
 (** The CMRA we need. *)

theories/base_logic/lib/viewshifts.v

 From iris.base_logic.lib Require Export invariants.
 From iris.proofmode Require Import tactics.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 
 Definition vs `{invG Σ} (E1 E2 : coPset) (P Q : iProp Σ) : iProp Σ :=
   (□ (P -∗ |={E1,E2}=> Q))%I.

theories/base_logic/lib/wsat.v

@@ -3,7 +3,7 @@ From iris.prelude Require Export coPset.
 From iris.algebra Require Import gmap auth agree gset coPset.
 From iris.base_logic Require Import big_op.
 From iris.proofmode Require Import tactics.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 
 Module invG.
   Class invG (Σ : gFunctors) : Set := WsatG {

theories/base_logic/primitive.v

 From iris.base_logic Require Export upred.
 From iris.algebra Require Export updates.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Local Hint Extern 1 (_ ≼ _) => etrans; [eassumption|].
 Local Hint Extern 1 (_ ≼ _) => etrans; [|eassumption].
 Local Hint Extern 10 (_ ≤ _) => omega.

theories/base_logic/soundness.v

 From iris.base_logic Require Export base_logic.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Import uPred.
 
 Section adequacy.

theories/base_logic/tactics.v

 From iris.prelude Require Import gmap.
 From iris.base_logic Require Export base_logic big_op.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 Import uPred.
 
 Module uPred_reflection. Section uPred_reflection.

theories/base_logic/upred.v

 From iris.algebra Require Export cmra.
-Set Default Proof Using "Type*".
+Set Default Proof Using "Type".
 
 (** The basic definition of the uPred type, its metric and functor laws.
     You probably do not want to import this file. Instead, import