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Commit dc47e022 authored by Ralf Jung's avatar Ralf Jung
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make the ElimAcc instance for WP add a view shift

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...@@ -48,7 +48,7 @@ Section mono_proof. ...@@ -48,7 +48,7 @@ Section mono_proof.
iIntros (Φ) "Hl HΦ". iLöb as "IH". wp_rec. iIntros (Φ) "Hl HΦ". iLöb as "IH". wp_rec.
iDestruct "Hl" as (γ) "[#? Hγf]". iDestruct "Hl" as (γ) "[#? Hγf]".
wp_bind (! _)%E. iInv N as (c) ">[Hγ Hl]". wp_bind (! _)%E. iInv N as (c) ">[Hγ Hl]".
wp_load. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|]. wp_load. iModIntro. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|].
wp_let. wp_op. wp_let. wp_op.
wp_bind (CAS _ _ _). iInv N as (c') ">[Hγ Hl]". wp_bind (CAS _ _ _). iInv N as (c') ">[Hγ Hl]".
destruct (decide (c' = c)) as [->|]. destruct (decide (c' = c)) as [->|].
...@@ -56,12 +56,12 @@ Section mono_proof. ...@@ -56,12 +56,12 @@ Section mono_proof.
as %[?%mnat_included _]%auth_valid_discrete_2. as %[?%mnat_included _]%auth_valid_discrete_2.
iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]". iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]".
{ apply auth_update, (mnat_local_update _ _ (S c)); auto. } { apply auth_update, (mnat_local_update _ _ (S c)); auto. }
wp_cas_suc. iSplitL "Hl Hγ". wp_cas_suc. iModIntro. iSplitL "Hl Hγ".
{ iNext. iExists (S c). rewrite Nat2Z.inj_succ Z.add_1_l. by iFrame. } { iNext. iExists (S c). rewrite Nat2Z.inj_succ Z.add_1_l. by iFrame. }
wp_if. iApply "HΦ"; iExists γ; repeat iSplit; eauto. wp_if. iApply "HΦ"; iExists γ; repeat iSplit; eauto.
iApply (own_mono with "Hγf"). apply: auth_frag_mono. iApply (own_mono with "Hγf"). apply: auth_frag_mono.
by apply mnat_included, le_n_S. by apply mnat_included, le_n_S.
- wp_cas_fail; first (by intros [= ?%Nat2Z.inj]). - wp_cas_fail; first (by intros [= ?%Nat2Z.inj]). iModIntro.
iSplitL "Hl Hγ"; [iNext; iExists c'; by iFrame|]. iSplitL "Hl Hγ"; [iNext; iExists c'; by iFrame|].
wp_if. iApply ("IH" with "[Hγf] [HΦ]"); last by auto. wp_if. iApply ("IH" with "[Hγf] [HΦ]"); last by auto.
rewrite {3}/mcounter; eauto 10. rewrite {3}/mcounter; eauto 10.
...@@ -72,7 +72,7 @@ Section mono_proof. ...@@ -72,7 +72,7 @@ Section mono_proof.
Proof. Proof.
iIntros (ϕ) "Hc HΦ". iDestruct "Hc" as (γ) "[#Hinv Hγf]". iIntros (ϕ) "Hc HΦ". iDestruct "Hc" as (γ) "[#Hinv Hγf]".
rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]". rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]".
iApply wp_fupd. wp_load. wp_load.
iDestruct (own_valid_2 with "Hγ Hγf") iDestruct (own_valid_2 with "Hγ Hγf")
as %[?%mnat_included _]%auth_valid_discrete_2. as %[?%mnat_included _]%auth_valid_discrete_2.
iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]". iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]".
...@@ -125,17 +125,17 @@ Section contrib_spec. ...@@ -125,17 +125,17 @@ Section contrib_spec.
Proof. Proof.
iIntros (Φ) "[#? Hγf] HΦ". iLöb as "IH". wp_rec. iIntros (Φ) "[#? Hγf] HΦ". iLöb as "IH". wp_rec.
wp_bind (! _)%E. iInv N as (c) ">[Hγ Hl]". wp_bind (! _)%E. iInv N as (c) ">[Hγ Hl]".
wp_load. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|]. wp_load. iModIntro. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|].
wp_let. wp_op. wp_let. wp_op.
wp_bind (CAS _ _ _). iInv N as (c') ">[Hγ Hl]". wp_bind (CAS _ _ _). iInv N as (c') ">[Hγ Hl]".
destruct (decide (c' = c)) as [->|]. destruct (decide (c' = c)) as [->|].
- iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]". - iMod (own_update_2 with "Hγ Hγf") as "[Hγ Hγf]".
{ apply frac_auth_update, (nat_local_update _ _ (S c) (S n)); omega. } { apply frac_auth_update, (nat_local_update _ _ (S c) (S n)); omega. }
wp_cas_suc. iSplitL "Hl Hγ". wp_cas_suc. iModIntro. iSplitL "Hl Hγ".
{ iNext. iExists (S c). rewrite Nat2Z.inj_succ Z.add_1_l. by iFrame. } { iNext. iExists (S c). rewrite Nat2Z.inj_succ Z.add_1_l. by iFrame. }
wp_if. by iApply "HΦ". wp_if. by iApply "HΦ".
- wp_cas_fail; first (by intros [= ?%Nat2Z.inj]). - wp_cas_fail; first (by intros [= ?%Nat2Z.inj]).
iSplitL "Hl Hγ"; [iNext; iExists c'; by iFrame|]. iModIntro. iSplitL "Hl Hγ"; [iNext; iExists c'; by iFrame|].
wp_if. by iApply ("IH" with "[Hγf] [HΦ]"); auto. wp_if. by iApply ("IH" with "[Hγf] [HΦ]"); auto.
Qed. Qed.
...@@ -146,7 +146,7 @@ Section contrib_spec. ...@@ -146,7 +146,7 @@ Section contrib_spec.
iIntros (Φ) "[#? Hγf] HΦ". iIntros (Φ) "[#? Hγf] HΦ".
rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]". wp_load. rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]". wp_load.
iDestruct (own_valid_2 with "Hγ Hγf") as % ?%frac_auth_included_total%nat_included. iDestruct (own_valid_2 with "Hγ Hγf") as % ?%frac_auth_included_total%nat_included.
iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|]. iModIntro. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|].
iApply ("HΦ" with "[-]"); rewrite /ccounter; eauto 10. iApply ("HΦ" with "[-]"); rewrite /ccounter; eauto 10.
Qed. Qed.
...@@ -157,7 +157,7 @@ Section contrib_spec. ...@@ -157,7 +157,7 @@ Section contrib_spec.
iIntros (Φ) "[#? Hγf] HΦ". iIntros (Φ) "[#? Hγf] HΦ".
rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]". wp_load. rewrite /read /=. wp_let. iInv N as (c) ">[Hγ Hl]". wp_load.
iDestruct (own_valid_2 with "Hγ Hγf") as % <-%frac_auth_agreeL. iDestruct (own_valid_2 with "Hγ Hγf") as % <-%frac_auth_agreeL.
iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|]. iModIntro. iSplitL "Hl Hγ"; [iNext; iExists c; by iFrame|].
by iApply "HΦ". by iApply "HΦ".
Qed. Qed.
End contrib_spec. End contrib_spec.
...@@ -56,7 +56,7 @@ Proof. ...@@ -56,7 +56,7 @@ Proof.
- wp_seq. iApply "HΦ". rewrite /join_handle. eauto. - wp_seq. iApply "HΦ". rewrite /join_handle. eauto.
- wp_bind (f _). iApply (wp_wand with "Hf"); iIntros (v) "Hv". - wp_bind (f _). iApply (wp_wand with "Hf"); iIntros (v) "Hv".
iInv N as (v') "[Hl _]". iInv N as (v') "[Hl _]".
wp_store. iSplit; last done. iNext. iExists (SOMEV v). iFrame. eauto. wp_store. iSplitL; last done. iIntros "!> !>". iExists (SOMEV v). iFrame. eauto.
Qed. Qed.
Lemma join_spec (Ψ : val iProp Σ) l : Lemma join_spec (Ψ : val iProp Σ) l :
...@@ -65,10 +65,10 @@ Proof. ...@@ -65,10 +65,10 @@ Proof.
iIntros (Φ) "H HΦ". iDestruct "H" as (γ) "[Hγ #?]". iIntros (Φ) "H HΦ". iDestruct "H" as (γ) "[Hγ #?]".
iLöb as "IH". wp_rec. wp_bind (! _)%E. iInv N as (v) "[Hl Hinv]". iLöb as "IH". wp_rec. wp_bind (! _)%E. iInv N as (v) "[Hl Hinv]".
wp_load. iDestruct "Hinv" as "[%|Hinv]"; subst. wp_load. iDestruct "Hinv" as "[%|Hinv]"; subst.
- iSplitL "Hl"; [iNext; iExists _; iFrame; eauto|]. - iModIntro. iSplitL "Hl"; [iNext; iExists _; iFrame; eauto|].
wp_match. iApply ("IH" with "Hγ [HΦ]"). auto. wp_match. iApply ("IH" with "Hγ [HΦ]"). auto.
- iDestruct "Hinv" as (v' ->) "[HΨ|Hγ']". - iDestruct "Hinv" as (v' ->) "[HΨ|Hγ']".
+ iSplitL "Hl Hγ"; [iNext; iExists _; iFrame; eauto|]. + iModIntro. iSplitL "Hl Hγ"; [iNext; iExists _; iFrame; eauto|].
wp_match. by iApply "HΦ". wp_match. by iApply "HΦ".
+ iDestruct (own_valid_2 with "Hγ Hγ'") as %[]. + iDestruct (own_valid_2 with "Hγ Hγ'") as %[].
Qed. Qed.
......
...@@ -62,10 +62,10 @@ Section proof. ...@@ -62,10 +62,10 @@ Section proof.
Proof. Proof.
iIntros (Φ) "#Hl HΦ". iDestruct "Hl" as (l ->) "#Hinv". iIntros (Φ) "#Hl HΦ". iDestruct "Hl" as (l ->) "#Hinv".
wp_rec. iInv N as ([]) "[Hl HR]". wp_rec. iInv N as ([]) "[Hl HR]".
- wp_cas_fail. iSplitL "Hl"; first (iNext; iExists true; eauto). - wp_cas_fail. iModIntro. iSplitL "Hl"; first (iNext; iExists true; eauto).
iApply ("HΦ" $! false). done. iApply ("HΦ" $! false). done.
- wp_cas_suc. iDestruct "HR" as "[Hγ HR]". - wp_cas_suc. iDestruct "HR" as "[Hγ HR]".
iSplitL "Hl"; first (iNext; iExists true; eauto). iModIntro. iSplitL "Hl"; first (iNext; iExists true; eauto).
rewrite /locked. by iApply ("HΦ" $! true with "[$Hγ $HR]"). rewrite /locked. by iApply ("HΦ" $! true with "[$Hγ $HR]").
Qed. Qed.
...@@ -85,7 +85,7 @@ Section proof. ...@@ -85,7 +85,7 @@ Section proof.
iDestruct "Hlock" as (l ->) "#Hinv". iDestruct "Hlock" as (l ->) "#Hinv".
rewrite /release /=. wp_let. iInv N as (b) "[Hl _]". rewrite /release /=. wp_let. iInv N as (b) "[Hl _]".
wp_store. iSplitR "HΦ"; last by iApply "HΦ". wp_store. iSplitR "HΦ"; last by iApply "HΦ".
iNext. iExists false. by iFrame. iModIntro. iNext. iExists false. by iFrame.
Qed. Qed.
End proof. End proof.
......
...@@ -91,13 +91,13 @@ Section proof. ...@@ -91,13 +91,13 @@ Section proof.
iInv N as (o n) "(Hlo & Hln & Ha)". iInv N as (o n) "(Hlo & Hln & Ha)".
wp_load. destruct (decide (x = o)) as [->|Hneq]. wp_load. destruct (decide (x = o)) as [->|Hneq].
- iDestruct "Ha" as "[Hainv [[Ho HR] | Haown]]". - iDestruct "Ha" as "[Hainv [[Ho HR] | Haown]]".
+ iSplitL "Hlo Hln Hainv Ht". + iModIntro. iSplitL "Hlo Hln Hainv Ht".
{ iNext. iExists o, n. iFrame. } { iNext. iExists o, n. iFrame. }
wp_let. wp_op. case_bool_decide; [|done]. wp_if. wp_let. wp_op. case_bool_decide; [|done]. wp_if.
iApply ("HΦ" with "[-]"). rewrite /locked. iFrame. eauto. iApply ("HΦ" with "[-]"). rewrite /locked. iFrame. eauto.
+ iDestruct (own_valid_2 with "Ht Haown") as % [_ ?%gset_disj_valid_op]. + iDestruct (own_valid_2 with "Ht Haown") as % [_ ?%gset_disj_valid_op].
set_solver. set_solver.
- iSplitL "Hlo Hln Ha". - iModIntro. iSplitL "Hlo Hln Ha".
{ iNext. iExists o, n. by iFrame. } { iNext. iExists o, n. by iFrame. }
wp_let. wp_op. case_bool_decide; [simplify_eq |]. wp_let. wp_op. case_bool_decide; [simplify_eq |].
wp_if. iApply ("IH" with "Ht"). iNext. by iExact "HΦ". wp_if. iApply ("IH" with "Ht"). iNext. by iExact "HΦ".
...@@ -109,7 +109,7 @@ Section proof. ...@@ -109,7 +109,7 @@ Section proof.
iIntros (ϕ) "Hl HΦ". iDestruct "Hl" as (lo ln ->) "#Hinv". iIntros (ϕ) "Hl HΦ". iDestruct "Hl" as (lo ln ->) "#Hinv".
iLöb as "IH". wp_rec. wp_bind (! _)%E. simplify_eq/=. wp_proj. iLöb as "IH". wp_rec. wp_bind (! _)%E. simplify_eq/=. wp_proj.
iInv N as (o n) "[Hlo [Hln Ha]]". iInv N as (o n) "[Hlo [Hln Ha]]".
wp_load. iSplitL "Hlo Hln Ha". wp_load. iModIntro. iSplitL "Hlo Hln Ha".
{ iNext. iExists o, n. by iFrame. } { iNext. iExists o, n. by iFrame. }
wp_let. wp_proj. wp_op. wp_bind (CAS _ _ _). wp_let. wp_proj. wp_op. wp_bind (CAS _ _ _).
iInv N as (o' n') "(>Hlo' & >Hln' & >Hauth & Haown)". iInv N as (o' n') "(>Hlo' & >Hln' & >Hauth & Haown)".
...@@ -119,14 +119,14 @@ Section proof. ...@@ -119,14 +119,14 @@ Section proof.
eapply (gset_disj_alloc_empty_local_update _ {[ n ]}). eapply (gset_disj_alloc_empty_local_update _ {[ n ]}).
apply (seq_set_S_disjoint 0). } apply (seq_set_S_disjoint 0). }
rewrite -(seq_set_S_union_L 0). rewrite -(seq_set_S_union_L 0).
wp_cas_suc. iSplitL "Hlo' Hln' Haown Hauth". wp_cas_suc. iModIntro. iSplitL "Hlo' Hln' Haown Hauth".
{ iNext. iExists o', (S n). { iNext. iExists o', (S n).
rewrite Nat2Z.inj_succ -Z.add_1_r. by iFrame. } rewrite Nat2Z.inj_succ -Z.add_1_r. by iFrame. }
wp_if. wp_if.
iApply (wait_loop_spec γ (#lo, #ln) with "[-HΦ]"). iApply (wait_loop_spec γ (#lo, #ln) with "[-HΦ]").
+ iFrame. rewrite /is_lock; eauto 10. + iFrame. rewrite /is_lock; eauto 10.
+ by iNext. + by iNext.
- wp_cas_fail. - wp_cas_fail. iModIntro.
iSplitL "Hlo' Hln' Hauth Haown". iSplitL "Hlo' Hln' Hauth Haown".
{ iNext. iExists o', n'. by iFrame. } { iNext. iExists o', n'. by iFrame. }
wp_if. by iApply "IH"; auto. wp_if. by iApply "IH"; auto.
...@@ -142,7 +142,7 @@ Section proof. ...@@ -142,7 +142,7 @@ Section proof.
wp_load. wp_load.
iDestruct (own_valid_2 with "Hauth Hγo") as iDestruct (own_valid_2 with "Hauth Hγo") as
%[[<-%Excl_included%leibniz_equiv _]%prod_included _]%auth_valid_discrete_2. %[[<-%Excl_included%leibniz_equiv _]%prod_included _]%auth_valid_discrete_2.
iSplitL "Hlo Hln Hauth Haown". iModIntro. iSplitL "Hlo Hln Hauth Haown".
{ iNext. iExists o, n. by iFrame. } { iNext. iExists o, n. by iFrame. }
wp_op. wp_op.
iInv N as (o' n') "(>Hlo & >Hln & >Hauth & Haown)". iInv N as (o' n') "(>Hlo & >Hln & >Hauth & Haown)".
...@@ -155,7 +155,7 @@ Section proof. ...@@ -155,7 +155,7 @@ Section proof.
{ apply auth_update, prod_local_update_1. { apply auth_update, prod_local_update_1.
by apply option_local_update, (exclusive_local_update _ (Excl (S o))). } by apply option_local_update, (exclusive_local_update _ (Excl (S o))). }
iModIntro. iSplitR "HΦ"; last by iApply "HΦ". iModIntro. iSplitR "HΦ"; last by iApply "HΦ".
iNext. iExists (S o), n'. iIntros "!> !>". iExists (S o), n'.
rewrite Nat2Z.inj_succ -Z.add_1_r. iFrame. iLeft. by iFrame. rewrite Nat2Z.inj_succ -Z.add_1_r. iFrame. iLeft. by iFrame.
Qed. Qed.
End proof. End proof.
......
...@@ -408,23 +408,23 @@ Section proofmode_classes. ...@@ -408,23 +408,23 @@ Section proofmode_classes.
Global Instance acc_elim_wp {X} E1 E2 α β γ e s Φ : Global Instance acc_elim_wp {X} E1 E2 α β γ e s Φ :
Atomic (stuckness_to_atomicity s) e Atomic (stuckness_to_atomicity s) e
AccElim (X:=X) E1 E2 α β γ (WP e @ s; E1 {{ Φ }}) AccElim (X:=X) E1 E2 α β γ (WP e @ s; E1 {{ Φ }})
(λ x, WP e @ s; E2 {{ v, β x coq_tactics.maybe_wand (γ x) (Φ v) }})%I. (λ x, WP e @ s; E2 {{ v, |={E2}=> β x coq_tactics.maybe_wand (γ x) (Φ v) }})%I.
Proof. Proof.
intros ?. rewrite /AccElim. setoid_rewrite coq_tactics.maybe_wand_sound. intros ?. rewrite /AccElim. setoid_rewrite coq_tactics.maybe_wand_sound.
iIntros "Hinner >Hacc". iDestruct "Hacc" as (x) "[Hα Hclose]". iIntros "Hinner >Hacc". iDestruct "Hacc" as (x) "[Hα Hclose]".
iApply (wp_wand with "[Hinner Hα]"); first by iApply "Hinner". iApply (wp_wand with "[Hinner Hα]"); first by iApply "Hinner".
iIntros (v) "[Hβ HΦ]". iApply "HΦ". by iApply "Hclose". iIntros (v) ">[Hβ HΦ]". iApply "HΦ". by iApply "Hclose".
Qed. Qed.
Global Instance acc_elim_wp_nonatomic {X} E α β γ e s Φ : Global Instance acc_elim_wp_nonatomic {X} E α β γ e s Φ :
AccElim (X:=X) E E α β γ (WP e @ s; E {{ Φ }}) AccElim (X:=X) E E α β γ (WP e @ s; E {{ Φ }})
(λ x, WP e @ s; E {{ v, β x coq_tactics.maybe_wand (γ x) (Φ v) }})%I. (λ x, WP e @ s; E {{ v, |={E}=> β x coq_tactics.maybe_wand (γ x) (Φ v) }})%I.
Proof. Proof.
rewrite /AccElim. setoid_rewrite coq_tactics.maybe_wand_sound. rewrite /AccElim. setoid_rewrite coq_tactics.maybe_wand_sound.
iIntros "Hinner >Hacc". iDestruct "Hacc" as (x) "[Hα Hclose]". iIntros "Hinner >Hacc". iDestruct "Hacc" as (x) "[Hα Hclose]".
iApply wp_fupd. iApply wp_fupd.
iApply (wp_wand with "[Hinner Hα]"); first by iApply "Hinner". iApply (wp_wand with "[Hinner Hα]"); first by iApply "Hinner".
iIntros (v) "[Hβ HΦ]". iApply "HΦ". by iApply "Hclose". iIntros (v) ">[Hβ HΦ]". iApply "HΦ". by iApply "Hclose".
Qed. Qed.
End proofmode_classes. End proofmode_classes.
...@@ -53,7 +53,7 @@ Proof. ...@@ -53,7 +53,7 @@ Proof.
+ iMod (own_update with "Hγ") as "Hγ". + iMod (own_update with "Hγ") as "Hγ".
{ by apply cmra_update_exclusive with (y:=Shot n). } { by apply cmra_update_exclusive with (y:=Shot n). }
wp_cas_suc. iSplitL; last eauto. wp_cas_suc. iSplitL; last eauto.
iNext; iRight; iExists n; by iFrame. iModIntro. iNext; iRight; iExists n; by iFrame.
+ wp_cas_fail. iSplitL; last eauto. + wp_cas_fail. iSplitL; last eauto.
rewrite /one_shot_inv; eauto 10. rewrite /one_shot_inv; eauto 10.
- iIntros "!# /=". wp_seq. wp_bind (! _)%E. - iIntros "!# /=". wp_seq. wp_bind (! _)%E.
...@@ -70,7 +70,7 @@ Proof. ...@@ -70,7 +70,7 @@ Proof.
+ iSplit. iLeft; by iSplitL "Hl". eauto. + iSplit. iLeft; by iSplitL "Hl". eauto.
+ iSplit. iRight; iExists m; by iSplitL "Hl". eauto. } + iSplit. iRight; iExists m; by iSplitL "Hl". eauto. }
iSplitL "Hinv"; first by eauto. iSplitL "Hinv"; first by eauto.
wp_let. iIntros "!#". wp_seq. iModIntro. wp_let. iIntros "!#". wp_seq.
iDestruct "Hv" as "[%|Hv]"; last iDestruct "Hv" as (m) "[% Hγ']"; subst. iDestruct "Hv" as "[%|Hv]"; last iDestruct "Hv" as (m) "[% Hγ']"; subst.
{ by wp_match. } { by wp_match. }
wp_match. wp_bind (! _)%E. wp_match. wp_bind (! _)%E.
...@@ -78,7 +78,7 @@ Proof. ...@@ -78,7 +78,7 @@ Proof.
{ by iDestruct (own_valid_2 with "Hγ Hγ'") as %?. } { by iDestruct (own_valid_2 with "Hγ Hγ'") as %?. }
wp_load. wp_load.
iDestruct (own_valid_2 with "Hγ Hγ'") as %?%agree_op_invL'; subst. iDestruct (own_valid_2 with "Hγ Hγ'") as %?%agree_op_invL'; subst.
iSplitL "Hl". iModIntro. iSplitL "Hl".
{ iNext; iRight; by eauto. } { iNext; iRight; by eauto. }
wp_match. iApply wp_assert. wp_match. iApply wp_assert.
wp_op. by case_bool_decide. wp_op. by case_bool_decide.
......
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