Proofmode type class instances for raw view shifts.

proofmode/classes.v

@@ -16,6 +16,9 @@ Proof. rewrite /FromAssumption=><-. by rewrite always_elim. Qed.
 Global Instance from_assumption_always_r P Q :
   FromAssumption true P Q → FromAssumption true P (□ Q).
 Proof. rewrite /FromAssumption=><-. by rewrite always_always. Qed.
+Global Instance from_assumption_rvs p P Q :
+  FromAssumption p P Q → FromAssumption p P (|==r> Q)%I.
+Proof. rewrite /FromAssumption=>->. apply rvs_intro. Qed.
 
 Class IntoPure (P : uPred M) (φ : Prop) := into_pure : P ⊢ ■ φ.
 Global Arguments into_pure : clear implicits.
@@ -35,6 +38,8 @@ Global Instance from_pure_eq {A : cofeT} (a b : A) : FromPure (a ≡ b) (a ≡ b
 Proof. intros ->. apply eq_refl. Qed.
 Global Instance from_pure_valid {A : cmraT} (a : A) : FromPure (✓ a) (✓ a).
 Proof. intros ?. by apply valid_intro. Qed.
+Global Instance from_pure_rvs P φ : FromPure P φ → FromPure (|==r> P) φ.
+Proof. intros ??. by rewrite -rvs_intro (from_pure P). Qed.
 
 Class IntoPersistentP (P Q : uPred M) := into_persistentP : P ⊢ □ Q.
 Global Arguments into_persistentP : clear implicits.
@@ -105,6 +110,9 @@ 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_always R P Q : IntoWand R P Q → IntoWand (□ R) P Q.
 Proof. rewrite /IntoWand=> ->. apply always_elim. Qed.
+Global Instance into_wand_rvs R P Q :
+  IntoWand R P Q → IntoWand R (|==r> P) (|==r> Q) | 100.
+Proof. rewrite /IntoWand=>->. apply wand_intro_l. by rewrite rvs_wand_r. Qed.
 
 Class FromAnd (P Q1 Q2 : uPred M) := from_and : Q1 ∧ Q2 ⊢ P.
 Global Arguments from_and : clear implicits.
@@ -135,6 +143,9 @@ Proof. rewrite /FromSep=> <-. by rewrite always_sep. Qed.
 Global Instance from_sep_later P Q1 Q2 :
   FromSep P Q1 Q2 → FromSep (▷ P) (▷ Q1) (▷ Q2).
 Proof. rewrite /FromSep=> <-. by rewrite later_sep. Qed.
+Global Instance from_sep_rvs P Q1 Q2 :
+  FromSep P Q1 Q2 → FromSep (|==r> P) (|==r> Q1) (|==r> Q2).
+Proof. rewrite /FromSep=><-. apply rvs_sep. Qed.
 
 Global Instance from_sep_ownM (a b : M) :
   FromSep (uPred_ownM (a ⋅ b)) (uPred_ownM a) (uPred_ownM b) | 99.
@@ -282,10 +293,16 @@ Global Instance frame_forall {A} R (Φ Ψ : A → uPred M) :
   (∀ a, Frame R (Φ a) (Ψ a)) → Frame R (∀ x, Φ x) (∀ x, Ψ x).
 Proof. rewrite /Frame=> ?. by rewrite sep_forall_l; apply forall_mono. Qed.
 
+Global Instance frame_rvs R P Q : Frame R P Q → Frame R (|==r> P) (|==r> Q).
+Proof. rewrite /Frame=><-. by rewrite rvs_frame_l. Qed.
+
 Class FromOr (P Q1 Q2 : uPred M) := from_or : Q1 ∨ Q2 ⊢ P.
 Global Arguments from_or : clear implicits.
 Global Instance from_or_or P1 P2 : FromOr (P1 ∨ P2) P1 P2.
 Proof. done. Qed.
+Global Instance from_or_rvs P Q1 Q2 :
+  FromOr P Q1 Q2 → FromOr (|==r> P) (|==r> Q1) (|==r> Q2).
+Proof. rewrite /FromOr=><-. apply or_elim; apply rvs_mono; auto with I. Qed.
 
 Class IntoOr P Q1 Q2 := into_or : P ⊢ Q1 ∨ Q2.
 Global Arguments into_or : clear implicits.
@@ -300,6 +317,11 @@ Class FromExist {A} (P : uPred M) (Φ : A → uPred M) :=
 Global Arguments from_exist {_} _ _ {_}.
 Global Instance from_exist_exist {A} (Φ: A → uPred M): FromExist (∃ a, Φ a) Φ.
 Proof. done. Qed.
+Global Instance from_exist_rvs {A} P (Φ : A → uPred M) :
+  FromExist P Φ → FromExist (|==r> P) (λ a, |==r> Φ a)%I.
+Proof.
+  rewrite /FromExist=><-. apply exist_elim=> a. by rewrite -(exist_intro a).
+Qed.
 
 Class IntoExist {A} (P : uPred M) (Φ : A → uPred M) :=
   into_exist : P ⊢ ∃ x, Φ x.
@@ -315,4 +337,8 @@ Proof. rewrite /IntoExist=> HP. by rewrite HP always_exist. Qed.
 
 Class TimelessElim (Q : uPred M) :=
   timeless_elim `{!TimelessP P} : ▷ P ★ (P -★ Q) ⊢ Q.
+Global Instance timeless_elim_rvs Q : TimelessElim (|==r> Q).
+Proof.
+  intros P ?. by rewrite (rvs_timeless P) rvs_frame_r wand_elim_r rvs_trans.
+Qed.
 End classes.

proofmode/coq_tactics.v

@@ -465,6 +465,8 @@ Class IntoAssert (P : uPred M) (Q : uPred M) (R : uPred M) :=
 Global Arguments into_assert _ _ _ {_}.
 Lemma into_assert_default P Q : IntoAssert P Q P.
 Proof. by rewrite /IntoAssert wand_elim_r. Qed.
+Global Instance to_assert_rvs P Q : IntoAssert P (|==r> Q) (|==r> P).
+Proof. by rewrite /IntoAssert rvs_frame_r wand_elim_r rvs_trans. Qed.
 
 Lemma tac_specialize_assert Δ Δ' Δ1 Δ2' j q lr js R P1 P2 P1' Q :
   envs_lookup_delete j Δ = Some (q, R, Δ') →