Get rid of * specialization pattern and perform these automatically.

ProofMode.md

@@ -251,7 +251,6 @@ _specification patterns_ to express splitting of hypotheses:
   `P`, as well the remaining goal.
 - `[%]` : This pattern can be used when eliminating `P -★ Q` when `P` is pure.
   It will generate a Coq goal for `P` and does not consume any hypotheses.
-- `*` : instantiate all top-level universal quantifiers with meta variables.
 
 For example, given:
 

theories/heap_lang/lib/par.v

@@ -33,7 +33,7 @@ Proof.
   iIntros (l) "Hl". wp_let. wp_proj. wp_bind (f2 _).
   iApply (wp_wand with "Hf2"); iIntros (v) "H2". wp_let.
   wp_apply (join_spec with "[$Hl]"). iIntros (w) "H1".
-  iSpecialize ("HΦ" with "* [-]"); first by iSplitL "H1". by wp_let.
+  iSpecialize ("HΦ" with "[-]"); first by iSplitL "H1". by wp_let.
 Qed.
 
 Lemma wp_par (Ψ1 Ψ2 : val → iProp Σ)

theories/program_logic/adequacy.v

@@ -134,7 +134,7 @@ Lemma wp_safe e σ Φ :
 Proof.
   rewrite wp_unfold /wp_pre. iIntros "[(Hw&HE&Hσ) H]".
   destruct (to_val e) as [v|] eqn:?; [eauto 10|].
-  rewrite fupd_eq. iMod ("H" with "* Hσ [-]") as ">(?&?&%&?)"; first by iFrame.
+  rewrite fupd_eq. iMod ("H" with "Hσ [-]") as ">(?&?&%&?)"; first by iFrame.
   eauto 10.
 Qed.
 

theories/program_logic/ownp.v

@@ -96,7 +96,7 @@ Section lifting.
       iMod (own_update_2 with "Hσ Hσf") as "[Hσ Hσf]".
       { by apply auth_update, option_local_update,
           (exclusive_local_update _ (Excl σ2)). }
-      iFrame "Hσ". iApply ("H" with "* []"); eauto.
+      iFrame "Hσ". iApply ("H" with "[]"); eauto.
   Qed.
 
   Lemma ownP_lift_pure_step `{Inhabited (state Λ)} E Φ e1 :
@@ -171,7 +171,7 @@ Section ectx_lifting.
     iIntros "H". iApply (ownP_lift_step E); try done.
     iMod "H" as (σ1) "(%&Hσ1&Hwp)". iModIntro. iExists σ1.
     iSplit; first by eauto. iFrame. iNext. iIntros (e2 σ2 efs) "% ?".
-    iApply ("Hwp" with "* []"); by eauto.
+    iApply ("Hwp" with "[]"); eauto.
   Qed.
 
   Lemma ownP_lift_pure_head_step E Φ e1 :
@@ -193,7 +193,7 @@ Section ectx_lifting.
     ⊢ WP e1 @ E {{ Φ }}.
   Proof.
     iIntros (?) "[? H]". iApply ownP_lift_atomic_step; eauto. iFrame. iNext.
-    iIntros (???) "% ?". iApply ("H" with "* []"); eauto.
+    iIntros (???) "% ?". iApply ("H" with "[]"); eauto.
   Qed.
 
   Lemma ownP_lift_atomic_det_head_step {E Φ e1} σ1 v2 σ2 efs :

theories/program_logic/weakestpre.v

@@ -155,10 +155,10 @@ Proof.
   { by iDestruct "H" as ">>> $". }
   iIntros (σ1) "Hσ". iMod "H". iMod ("H" $! σ1 with "Hσ") as "[$ H]".
   iModIntro. iNext. iIntros (e2 σ2 efs Hstep).
-  iMod ("H" with "* []") as "(Hphy & H & $)"; first done.
+  iMod ("H" with "[]") as "(Hphy & H & $)"; first done.
   rewrite !wp_unfold /wp_pre. destruct (to_val e2) as [v2|] eqn:He2.
   - iDestruct "H" as ">> $". iFrame. eauto.
-  - iMod ("H" with "* Hphy") as "[H _]".
+  - iMod ("H" with "Hphy") as "[H _]".
     iDestruct "H" as %(? & ? & ? & ?). by edestruct (Hatomic _ _ _ _ Hstep).
 Qed.
 

theories/proofmode/class_instances.v

@@ -21,6 +21,9 @@ Proof. rewrite /FromAssumption=><-. by rewrite always_always. Qed.
 Global Instance from_assumption_bupd p P Q :
   FromAssumption p P Q → FromAssumption p P (|==> Q)%I.
 Proof. rewrite /FromAssumption=>->. apply bupd_intro. Qed.
+Global Instance from_assumption_forall {A} p (Φ : A → uPred M) Q x :
+  FromAssumption p (Φ x) Q → FromAssumption p (∀ x, Φ x) Q.
+Proof. rewrite /FromAssumption=> <-. by rewrite forall_elim. Qed.
 
 (* IntoPure *)
 Global Instance into_pure_pure φ : @IntoPure M ⌜φ⌝ φ.
@@ -217,6 +220,9 @@ Proof. by apply and_elim_l', impl_wand. Qed.
 Global Instance into_wand_iff_r P Q : IntoWand (P ↔ Q) Q P.
 Proof. apply and_elim_r', impl_wand. Qed.
 
+Global Instance into_wand_forall {A} (Φ : A → uPred M) P Q x :
+  IntoWand (Φ x) P Q → IntoWand (∀ x, Φ x) P Q.
+Proof. rewrite /IntoWand=> <-. apply forall_elim. Qed.
 Global Instance into_wand_always R P Q : IntoWand R P Q → IntoWand (□ R) P Q.
 Proof. rewrite /IntoWand=> ->. apply always_elim. Qed.
 

theories/proofmode/spec_patterns.v

@@ -12,8 +12,7 @@ Inductive spec_pat :=
   | SGoal : spec_goal → spec_pat
   | SGoalPersistent : spec_pat
   | SGoalPure : spec_pat
-  | SName : string → spec_pat
-  | SForall : spec_pat.
+  | SName : string → spec_pat.
 
 Module spec_pat.
 Inductive token :=
@@ -23,7 +22,6 @@ Inductive token :=
   | TBracketR : token
   | TPersistent : token
   | TPure : token
-  | TForall : token
   | TModal : token
   | TFrame : token.
 
@@ -37,7 +35,6 @@ Fixpoint tokenize_go (s : string) (k : list token) (kn : string) : list token :=
   | String "]" s => tokenize_go s (TBracketR :: cons_name kn k) ""
   | String "#" s => tokenize_go s (TPersistent :: cons_name kn k) ""
   | String "%" s => tokenize_go s (TPure :: cons_name kn k) ""
-  | String "*" s => tokenize_go s (TForall :: cons_name kn k) ""
   | String ">" s => tokenize_go s (TModal :: cons_name kn k) ""
   | String "$" s => tokenize_go s (TFrame :: cons_name kn k) ""
   | String a s =>
@@ -60,7 +57,6 @@ Fixpoint parse_go (ts : list token) (k : list spec_pat) : option (list spec_pat)
   | TBracketL :: ts => parse_goal ts (SpecGoal false false [] []) k
   | TModal :: TBracketL :: ts => parse_goal ts (SpecGoal true false [] []) k
   | TModal :: ts => parse_go ts (SGoal (SpecGoal true true [] []) :: k)
-  | TForall :: ts => parse_go ts (SForall :: k)
   | _ => None
   end
 with parse_goal (ts : list token) (g : spec_goal)

theories/proofmode/tactics.v

@@ -285,7 +285,6 @@ Local Tactic Notation "iSpecializePat" constr(H) constr(pat) :=
   let rec go H1 pats :=
     lazymatch pats with
     | [] => idtac
-    | SForall :: ?pats => try (iSpecializeArgs H1 (hcons _ _)); go H1 pats
     | SName ?H2 :: ?pats =>
        eapply tac_specialize with _ _ H2 _ H1 _ _ _ _; (* (j:=H1) (i:=H2) *)
          [env_cbv; reflexivity || fail "iSpecialize:" H2 "not found"
@@ -424,11 +423,6 @@ Tactic Notation "iPoseProof" open_constr(lem) "as" constr(H) :=
 
 (** * Apply *)
 Tactic Notation "iApply" open_constr(lem) :=
-  let lem := (* add a `*` to specialize all top-level foralls *)
-    lazymatch lem with
-    | ITrm ?t ?xs ?pat => constr:(ITrm t xs ("*" +:+ pat))
-    | _ => constr:(ITrm lem hnil "*")
-    end in
   let rec go H := first
     [eapply tac_apply with _ H _ _ _;
       [env_cbv; reflexivity
@@ -971,7 +965,8 @@ Tactic Notation "iDestructCore" open_constr(lem) "as" constr(p) tactic(tac) :=
       | 0 => fail "iDestruct: cannot introduce" n "hypotheses"
       | 1 => repeat iIntroForall; let H := iFresh in iIntro H; tac H
       | S ?n' => repeat iIntroForall; let H := iFresh in iIntro H; go n'
-      end in intros; iStartProof; go n in
+      end in
+    intros; iStartProof; go n in
   lazymatch type of lem with
   | nat => intro_destruct lem
   | Z => (* to make it work in Z_scope. We should just be able to bind