From 2cfaecf6dab2e05bcf4644df9e03abec8033de05 Mon Sep 17 00:00:00 2001 From: Jacques-Henri Jourdan <jacques-henri.jourdan@normalesup.org> Date: Sat, 3 Mar 2018 19:57:27 +0100 Subject: [PATCH] Get rid of KnownFrame and iFrame automatically instantiating evars. --- theories/program_logic/total_weakestpre.v | 4 +- theories/program_logic/weakestpre.v | 4 +- theories/proofmode/class_instances.v | 135 ++++++++++------------ theories/proofmode/classes.v | 14 +-- theories/proofmode/monpred.v | 8 +- theories/tests/proofmode.v | 10 +- 6 files changed, 77 insertions(+), 98 deletions(-) diff --git a/theories/program_logic/total_weakestpre.v b/theories/program_logic/total_weakestpre.v index b188a5b34..6afeb5a3b 100644 --- a/theories/program_logic/total_weakestpre.v +++ b/theories/program_logic/total_weakestpre.v @@ -378,8 +378,8 @@ Section proofmode_classes. Global Instance frame_twp p s E e R Φ Ψ : (∀ v, Frame p R (Φ v) (Ψ v)) → - KnownFrame p R (WP e @ s; E [{ Φ }]) (WP e @ s; E [{ Ψ }]). - Proof. rewrite /KnownFrame /Frame=> HR. rewrite twp_frame_l. apply twp_mono, HR. Qed. + Frame p R (WP e @ s; E [{ Φ }]) (WP e @ s; E [{ Ψ }]). + Proof. rewrite /Frame=> HR. rewrite twp_frame_l. apply twp_mono, HR. Qed. Global Instance is_except_0_wp s E e Φ : IsExcept0 (WP e @ s; E [{ Φ }]). Proof. by rewrite /IsExcept0 -{2}fupd_twp -except_0_fupd -fupd_intro. Qed. diff --git a/theories/program_logic/weakestpre.v b/theories/program_logic/weakestpre.v index a9cb74349..4564bb371 100644 --- a/theories/program_logic/weakestpre.v +++ b/theories/program_logic/weakestpre.v @@ -372,8 +372,8 @@ Section proofmode_classes. Global Instance frame_wp p s E e R Φ Ψ : (∀ v, Frame p R (Φ v) (Ψ v)) → - KnownFrame p R (WP e @ s; E {{ Φ }}) (WP e @ s; E {{ Ψ }}). - Proof. rewrite /KnownFrame /Frame=> HR. rewrite wp_frame_l. apply wp_mono, HR. Qed. + Frame p R (WP e @ s; E {{ Φ }}) (WP e @ s; E {{ Ψ }}). + Proof. rewrite /Frame=> HR. rewrite wp_frame_l. apply wp_mono, HR. Qed. Global Instance is_except_0_wp s E e Φ : IsExcept0 (WP e @ s; E {{ Φ }}). Proof. by rewrite /IsExcept0 -{2}fupd_wp -except_0_fupd -fupd_intro. Qed. diff --git a/theories/proofmode/class_instances.v b/theories/proofmode/class_instances.v index f1fe44239..81beeec8d 100644 --- a/theories/proofmode/class_instances.v +++ b/theories/proofmode/class_instances.v @@ -716,25 +716,25 @@ Proof. Qed. (* Frame *) -Global Instance frame_here_absorbing p R : Absorbing R → KnownFrame p R R True | 0. -Proof. intros. by rewrite /KnownFrame /Frame affinely_persistently_if_elim sep_elim_l. Qed. -Global Instance frame_here p R : KnownFrame p R R emp | 1. -Proof. intros. by rewrite /KnownFrame /Frame affinely_persistently_if_elim sep_elim_l. Qed. +Global Instance frame_here_absorbing p R : Absorbing R → Frame p R R True | 0. +Proof. intros. by rewrite /Frame affinely_persistently_if_elim sep_elim_l. Qed. +Global Instance frame_here p R : Frame p R R emp | 1. +Proof. intros. by rewrite /Frame affinely_persistently_if_elim sep_elim_l. Qed. Global Instance frame_affinely_here_absorbing p R : - Absorbing R → KnownFrame p (bi_affinely R) R True | 0. + Absorbing R → Frame p (bi_affinely R) R True | 0. Proof. - intros. rewrite /KnownFrame /Frame affinely_persistently_if_elim affinely_elim. + intros. rewrite /Frame affinely_persistently_if_elim affinely_elim. apply sep_elim_l, _. Qed. -Global Instance frame_affinely_here p R : KnownFrame p (bi_affinely R) R emp | 1. +Global Instance frame_affinely_here p R : Frame p (bi_affinely R) R emp | 1. Proof. - intros. rewrite /KnownFrame /Frame affinely_persistently_if_elim affinely_elim. + intros. rewrite /Frame affinely_persistently_if_elim affinely_elim. apply sep_elim_l, _. Qed. -Global Instance frame_here_pure p φ Q : FromPure false Q φ → KnownFrame p ⌜φ⌠Q True. +Global Instance frame_here_pure p φ Q : FromPure false Q φ → Frame p ⌜φ⌠Q True. Proof. - rewrite /FromPure /KnownFrame /Frame=> <-. + rewrite /FromPure /Frame=> <-. by rewrite affinely_persistently_if_elim sep_elim_l. Qed. @@ -749,16 +749,14 @@ Global Instance make_embed_default `{BiEmbed PROP PROP'} P : Proof. by rewrite /MakeEmbed. Qed. Global Instance frame_embed `{BiEmbed PROP PROP'} p P Q (Q' : PROP') R : - Frame p R P Q → MakeEmbed Q Q' → KnownFrame p ⎡R⎤ ⎡P⎤ Q'. + Frame p R P Q → MakeEmbed Q Q' → Frame p ⎡R⎤ ⎡P⎤ Q'. Proof. - rewrite /KnownFrame /Frame /MakeEmbed => <- <-. + rewrite /Frame /MakeEmbed => <- <-. rewrite embed_sep embed_affinely_if embed_persistently_if => //. Qed. Global Instance frame_pure_embed `{BiEmbed PROP PROP'} p P Q (Q' : PROP') φ : - Frame p ⌜φ⌠P Q → MakeEmbed Q Q' → KnownFrame p ⌜φ⌠⎡P⎤ Q'. -Proof. - rewrite /KnownFrame /Frame /MakeEmbed -embed_pure. apply (frame_embed p P Q). -Qed. + Frame p ⌜φ⌠P Q → MakeEmbed Q Q' → Frame p ⌜φ⌠⎡P⎤ Q'. +Proof. rewrite /Frame /MakeEmbed -embed_pure. apply (frame_embed p P Q). Qed. Global Instance make_sep_emp_l P : KnownLMakeSep emp P P. Proof. apply left_id, _. Qed. @@ -777,31 +775,31 @@ Proof. by rewrite /MakeSep. Qed. Global Instance frame_sep_persistent_l progress R P1 P2 Q1 Q2 Q' : Frame true R P1 Q1 → MaybeFrame true R P2 Q2 progress → MakeSep Q1 Q2 Q' → - KnownFrame true R (P1 ∗ P2) Q' | 9. + Frame true R (P1 ∗ P2) Q' | 9. Proof. - rewrite /KnownFrame /Frame /MaybeFrame /MakeSep /= => <- <- <-. + rewrite /Frame /MaybeFrame /MakeSep /= => <- <- <-. rewrite {1}(affinely_persistently_sep_dup R). solve_sep_entails. Qed. Global Instance frame_sep_l R P1 P2 Q Q' : - Frame false R P1 Q → MakeSep Q P2 Q' → KnownFrame false R (P1 ∗ P2) Q' | 9. -Proof. rewrite /KnownFrame /Frame /MakeSep => <- <-. by rewrite assoc. Qed. + Frame false R P1 Q → MakeSep Q P2 Q' → Frame false R (P1 ∗ P2) Q' | 9. +Proof. rewrite /Frame /MakeSep => <- <-. by rewrite assoc. Qed. Global Instance frame_sep_r p R P1 P2 Q Q' : - Frame p R P2 Q → MakeSep P1 Q Q' → KnownFrame p R (P1 ∗ P2) Q' | 10. + Frame p R P2 Q → MakeSep P1 Q Q' → Frame p R (P1 ∗ P2) Q' | 10. Proof. - rewrite /KnownFrame /Frame /MakeSep => <- <-. by rewrite assoc -(comm _ P1) assoc. + rewrite /Frame /MakeSep => <- <-. by rewrite assoc -(comm _ P1) assoc. Qed. Global Instance frame_big_sepL_cons {A} p (Φ : nat → A → PROP) R Q l x l' : IsCons l x l' → Frame p R (Φ 0 x ∗ [∗ list] k ↦ y ∈ l', Φ (S k) y) Q → - KnownFrame p R ([∗ list] k ↦ y ∈ l, Φ k y) Q. -Proof. rewrite /IsCons=>->. by rewrite /KnownFrame /Frame big_sepL_cons. Qed. + Frame p R ([∗ list] k ↦ y ∈ l, Φ k y) Q. +Proof. rewrite /IsCons=>->. by rewrite /Frame big_sepL_cons. Qed. Global Instance frame_big_sepL_app {A} p (Φ : nat → A → PROP) R Q l l1 l2 : IsApp l l1 l2 → Frame p R (([∗ list] k ↦ y ∈ l1, Φ k y) ∗ [∗ list] k ↦ y ∈ l2, Φ (length l1 + k) y) Q → - KnownFrame p R ([∗ list] k ↦ y ∈ l, Φ k y) Q. -Proof. rewrite /IsApp=>->. by rewrite /KnownFrame /Frame big_opL_app. Qed. + Frame p R ([∗ list] k ↦ y ∈ l, Φ k y) Q. +Proof. rewrite /IsApp=>->. by rewrite /Frame big_opL_app. Qed. Global Instance make_and_true_l P : KnownLMakeAnd True P P. Proof. apply left_id, _. Qed. @@ -823,9 +821,9 @@ Global Instance frame_and p progress1 progress2 R P1 P2 Q1 Q2 Q' : MaybeFrame p R P2 Q2 progress2 → TCEq (progress1 || progress2) true → MakeAnd Q1 Q2 Q' → - KnownFrame p R (P1 ∧ P2) Q' | 9. + Frame p R (P1 ∧ P2) Q' | 9. Proof. - rewrite /MaybeFrame /KnownFrame /Frame /MakeAnd => <- <- _ <-. apply and_intro; + rewrite /MaybeFrame /Frame /MakeAnd => <- <- _ <-. apply and_intro; [rewrite and_elim_l|rewrite and_elim_r]; done. Qed. @@ -843,9 +841,9 @@ Proof. by rewrite /MakeOr. Qed. (* We could in principle write the instance [frame_or_spatial] by a bunch of instances, i.e. (omitting the parameter [p = false]): - Frame R P1 Q1 → Frame R P2 Q2 → KnownFrame R (P1 ∨ P2) (Q1 ∨ Q2) - Frame R P1 True → KnownFrame R (P1 ∨ P2) P2 - Frame R P2 True → KnownFrame R (P1 ∨ P2) P1 + Frame R P1 Q1 → Frame R P2 Q2 → Frame R (P1 ∨ P2) (Q1 ∨ Q2) + Frame R P1 True → Frame R (P1 ∨ P2) P2 + Frame R P2 True → Frame R (P1 ∨ P2) P1 The problem here is that Coq will try to infer [Frame R P1 ?] and [Frame R P2 ?] multiple times, whereas the current solution makes sure that said inference @@ -859,19 +857,19 @@ Global Instance frame_or_spatial progress1 progress2 R P1 P2 Q1 Q2 Q : (TCAnd (TCEq progress1 true) (TCEq Q1 True%I)) (TCAnd (TCEq progress2 true) (TCEq Q2 True%I))) → MakeOr Q1 Q2 Q → - KnownFrame false R (P1 ∨ P2) Q | 9. -Proof. rewrite /KnownFrame /Frame /MakeOr => <- <- _ <-. by rewrite -sep_or_l. Qed. + Frame false R (P1 ∨ P2) Q | 9. +Proof. rewrite /Frame /MakeOr => <- <- _ <-. by rewrite -sep_or_l. Qed. Global Instance frame_or_persistent progress1 progress2 R P1 P2 Q1 Q2 Q : MaybeFrame true R P1 Q1 progress1 → MaybeFrame true R P2 Q2 progress2 → TCEq (progress1 || progress2) true → - MakeOr Q1 Q2 Q → KnownFrame true R (P1 ∨ P2) Q | 9. -Proof. rewrite /KnownFrame /Frame /MakeOr => <- <- _ <-. by rewrite -sep_or_l. Qed. + MakeOr Q1 Q2 Q → Frame true R (P1 ∨ P2) Q | 9. +Proof. rewrite /Frame /MakeOr => <- <- _ <-. by rewrite -sep_or_l. Qed. Global Instance frame_wand p R P1 P2 Q2 : - Frame p R P2 Q2 → KnownFrame p R (P1 -∗ P2) (P1 -∗ Q2). + Frame p R P2 Q2 → Frame p R (P1 -∗ P2) (P1 -∗ Q2). Proof. - rewrite /KnownFrame /Frame=> ?. apply wand_intro_l. + rewrite /Frame=> ?. apply wand_intro_l. by rewrite assoc (comm _ P1) -assoc wand_elim_r. Qed. @@ -883,9 +881,9 @@ Global Instance make_affinely_default P : MakeAffinely P (bi_affinely P) | 100. Proof. by rewrite /MakeAffinely. Qed. Global Instance frame_affinely R P Q Q' : - Frame true R P Q → MakeAffinely Q Q' → KnownFrame true R (bi_affinely P) Q'. + Frame true R P Q → MakeAffinely Q Q' → Frame true R (bi_affinely P) Q'. Proof. - rewrite /KnownFrame /Frame /MakeAffinely=> <- <- /=. + rewrite /Frame /MakeAffinely=> <- <- /=. by rewrite -{1}affinely_idemp affinely_sep_2. Qed. @@ -901,9 +899,9 @@ Global Instance make_absorbingly_default P : MakeAbsorbingly P (bi_absorbingly P Proof. by rewrite /MakeAbsorbingly. Qed. Global Instance frame_absorbingly p R P Q Q' : - Frame p R P Q → MakeAbsorbingly Q Q' → KnownFrame p R (bi_absorbingly P) Q'. + Frame p R P Q → MakeAbsorbingly Q Q' → Frame p R (bi_absorbingly P) Q'. Proof. - rewrite /KnownFrame /Frame /MakeAbsorbingly=> <- <- /=. by rewrite absorbingly_sep_r. + rewrite /Frame /MakeAbsorbingly=> <- <- /=. by rewrite absorbingly_sep_r. Qed. Global Instance make_persistently_true : @KnownMakePersistently PROP True True. @@ -918,45 +916,38 @@ Global Instance make_persistently_default P : Proof. by rewrite /MakePersistently. Qed. Global Instance frame_persistently R P Q Q' : - Frame true R P Q → MakePersistently Q Q' → KnownFrame true R (bi_persistently P) Q'. + Frame true R P Q → MakePersistently Q Q' → Frame true R (bi_persistently P) Q'. Proof. - rewrite /KnownFrame /Frame /MakePersistently=> <- <- /=. + rewrite /Frame /MakePersistently=> <- <- /=. rewrite -persistently_and_affinely_sep_l. by rewrite -persistently_sep_2 -persistently_and_sep_l_1 persistently_affinely persistently_idemp. Qed. Global Instance frame_exist {A} p R (Φ Ψ : A → PROP) : - (∀ a, Frame p R (Φ a) (Ψ a)) → KnownFrame p R (∃ x, Φ x) (∃ x, Ψ x). -Proof. rewrite /KnownFrame /Frame=> ?. by rewrite sep_exist_l; apply exist_mono. Qed. + (∀ a, Frame p R (Φ a) (Ψ a)) → Frame p R (∃ x, Φ x) (∃ x, Ψ x). +Proof. rewrite /Frame=> ?. by rewrite sep_exist_l; apply exist_mono. Qed. Global Instance frame_forall {A} p R (Φ Ψ : A → PROP) : - (∀ a, Frame p R (Φ a) (Ψ a)) → KnownFrame p R (∀ x, Φ x) (∀ x, Ψ x). -Proof. rewrite /KnownFrame /Frame=> ?. by rewrite sep_forall_l; apply forall_mono. Qed. + (∀ a, Frame p R (Φ a) (Ψ a)) → Frame p R (∀ x, Φ x) (∀ x, Ψ x). +Proof. rewrite /Frame=> ?. by rewrite sep_forall_l; apply forall_mono. Qed. Global Instance frame_impl_persistent R P1 P2 Q2 : - Frame true R P2 Q2 → KnownFrame true R (P1 → P2) (P1 → Q2). + Frame true R P2 Q2 → Frame true R (P1 → P2) (P1 → Q2). Proof. - rewrite /KnownFrame /Frame /= => ?. apply impl_intro_l. + rewrite /Frame /= => ?. apply impl_intro_l. by rewrite -persistently_and_affinely_sep_l assoc (comm _ P1) -assoc impl_elim_r persistently_and_affinely_sep_l. Qed. Global Instance frame_impl R P1 P2 Q2 : Persistent P1 → Absorbing P1 → - Frame false R P2 Q2 → KnownFrame false R (P1 → P2) (P1 → Q2). + Frame false R P2 Q2 → Frame false R (P1 → P2) (P1 → Q2). Proof. - rewrite /KnownFrame /Frame /==> ???. apply impl_intro_l. + rewrite /Frame /==> ???. apply impl_intro_l. rewrite {1}(persistent P1) persistently_and_affinely_sep_l assoc. rewrite (comm _ (â–¡ P1)%I) -assoc -persistently_and_affinely_sep_l. rewrite persistently_elim impl_elim_r //. Qed. -(* In the case nothing else suceeded, then we try to instantiate the - evar [P] with [R ∗ Q]. This only does so in non-persistent mode: - The idea is that persistent assumptions will still be available - when [P] will be used, so there is no need to keep it in [P]. *) -Global Instance frame_sep_instantiate R Q : Frame false R (R ∗ Q) Q | 100. -Proof. by rewrite /Frame. Qed. - (* IntoEmbed *) Global Instance into_embed_embed {PROP' : bi} `{BiEmbed PROP PROP'} P : IntoEmbed ⎡P⎤ P. @@ -1054,7 +1045,7 @@ Global Instance into_wand_later p q R P Q : IntoWand p q R P Q → IntoWand p q (â–· R) (â–· P) (â–· Q). Proof. rewrite /IntoWand /= => HR. - by rewrite !later_affinely_persistently_if_2 -later_wand HR. + by rewrite !later_affinely_persistently_if_2 -later_wand HR. Qed. Global Instance into_wand_later_args p q R P Q : IntoWand p q R P Q → IntoWand' p q R (â–· P) (â–· Q). @@ -1067,7 +1058,7 @@ Global Instance into_wand_laterN n p q R P Q : IntoWand p q R P Q → IntoWand p q (â–·^n R) (â–·^n P) (â–·^n Q). Proof. rewrite /IntoWand /= => HR. - by rewrite !laterN_affinely_persistently_if_2 -laterN_wand HR. + by rewrite !laterN_affinely_persistently_if_2 -laterN_wand HR. Qed. Global Instance into_wand_laterN_args n p q R P Q : IntoWand p q R P Q → IntoWand' p q R (â–·^n P) (â–·^n Q). @@ -1506,8 +1497,8 @@ Proof. by rewrite /AddModal fupd_frame_r wand_elim_r fupd_trans. Qed. (* Frame *) Global Instance frame_eq_embed `{SbiEmbed PROP PROP'} p P Q (Q' : PROP') {A : ofeT} (a b : A) : - Frame p (a ≡ b) P Q → MakeEmbed Q Q' → KnownFrame p (a ≡ b) ⎡P⎤ Q'. -Proof. rewrite /KnownFrame /Frame /MakeEmbed -embed_internal_eq. apply (frame_embed p P Q). Qed. + Frame p (a ≡ b) P Q → MakeEmbed Q Q' → Frame p (a ≡ b) ⎡P⎤ Q'. +Proof. rewrite /Frame /MakeEmbed -embed_internal_eq. apply (frame_embed p P Q). Qed. Global Instance make_laterN_true n : @KnownMakeLaterN PROP n True True | 0. Proof. by rewrite /KnownMakeLaterN /MakeLaterN laterN_True. Qed. @@ -1520,25 +1511,25 @@ Proof. by rewrite /MakeLaterN. Qed. Global Instance frame_later p R R' P Q Q' : NoBackTrack (MaybeIntoLaterN true 1 R' R) → - Frame p R P Q → MakeLaterN 1 Q Q' → KnownFrame p R' (â–· P) Q'. + Frame p R P Q → MakeLaterN 1 Q Q' → Frame p R' (â–· P) Q'. Proof. - rewrite /KnownFrame /Frame /MakeLaterN /MaybeIntoLaterN=>-[->] <- <-. + rewrite /Frame /MakeLaterN /MaybeIntoLaterN=>-[->] <- <-. by rewrite later_affinely_persistently_if_2 later_sep. Qed. Global Instance frame_laterN p n R R' P Q Q' : NoBackTrack (MaybeIntoLaterN true n R' R) → - Frame p R P Q → MakeLaterN n Q Q' → KnownFrame p R' (â–·^n P) Q'. + Frame p R P Q → MakeLaterN n Q Q' → Frame p R' (â–·^n P) Q'. Proof. - rewrite /KnownFrame /Frame /MakeLaterN /MaybeIntoLaterN=>-[->] <- <-. + rewrite /Frame /MakeLaterN /MaybeIntoLaterN=>-[->] <- <-. by rewrite laterN_affinely_persistently_if_2 laterN_sep. Qed. Global Instance frame_bupd `{BiBUpd PROP} p R P Q : - Frame p R P Q → KnownFrame p R (|==> P) (|==> Q). -Proof. rewrite /KnownFrame /Frame=><-. by rewrite bupd_frame_l. Qed. + Frame p R P Q → Frame p R (|==> P) (|==> Q). +Proof. rewrite /Frame=><-. by rewrite bupd_frame_l. Qed. Global Instance frame_fupd `{BiFUpd PROP} p E1 E2 R P Q : - Frame p R P Q → KnownFrame p R (|={E1,E2}=> P) (|={E1,E2}=> Q). -Proof. rewrite /KnownFrame /Frame=><-. by rewrite fupd_frame_l. Qed. + Frame p R P Q → Frame p R (|={E1,E2}=> P) (|={E1,E2}=> Q). +Proof. rewrite /Frame=><-. by rewrite fupd_frame_l. Qed. Global Instance make_except_0_True : @KnownMakeExcept0 PROP True True. Proof. by rewrite /KnownMakeExcept0 /MakeExcept0 except_0_True. Qed. @@ -1546,9 +1537,9 @@ Global Instance make_except_0_default P : MakeExcept0 P (â—‡ P) | 100. Proof. by rewrite /MakeExcept0. Qed. Global Instance frame_except_0 p R P Q Q' : - Frame p R P Q → MakeExcept0 Q Q' → KnownFrame p R (â—‡ P) Q'. + Frame p R P Q → MakeExcept0 Q Q' → Frame p R (â—‡ P) Q'. Proof. - rewrite /KnownFrame /Frame /MakeExcept0=><- <-. + rewrite /Frame /MakeExcept0=><- <-. by rewrite except_0_sep -(except_0_intro (â–¡?p R)%I). Qed. diff --git a/theories/proofmode/classes.v b/theories/proofmode/classes.v index 119c45711..255c7bce9 100644 --- a/theories/proofmode/classes.v +++ b/theories/proofmode/classes.v @@ -254,19 +254,7 @@ Proof. done. Qed. Class Frame {PROP : bi} (p : bool) (R P Q : PROP) := frame : â–¡?p R ∗ Q ⊢ P. Arguments Frame {_} _ _%I _%I _%I. Arguments frame {_ _} _%I _%I _%I {_}. -(* [P] has - hint mode even though it is morally an input. In the case - P is an evar, it will be instantiated with [R * ?P'], where [?P'] - is a new evar. This mechanism should be the only instance able to - instanciate [P] when it is an evar. *) -Hint Mode Frame + + ! - - : typeclass_instances. - -(* [KnownFrame] is like [Frame], but with an [Hint Mode] that make - sure we do not instantiate [P]. *) -Class KnownFrame {PROP : bi} (p : bool) (R P Q : PROP) := - known_frame :> Frame p R P Q. -Arguments KnownFrame {_} _ _%I _%I _%I. -Arguments known_frame {_ _} _%I _%I _%I {_}. -Hint Mode KnownFrame + + ! ! - : typeclass_instances. +Hint Mode Frame + + ! ! - : typeclass_instances. (* The boolean [progress] indicates whether actual framing has been performed. If it is [false], then the default instance [maybe_frame_default] below has been diff --git a/theories/proofmode/monpred.v b/theories/proofmode/monpred.v index 179150e90..d6b37072c 100644 --- a/theories/proofmode/monpred.v +++ b/theories/proofmode/monpred.v @@ -332,16 +332,16 @@ Qed. search, and hence performance issues. *) Global Instance frame_monPred_at p P Q ð“ R i j : IsBiIndexRel i j → Frame p R P Q → MakeMonPredAt j Q ð“ → - KnownFrame p (R i) (P j) ð“ . + Frame p (R i) (P j) ð“ . Proof. - rewrite /KnownFrame /Frame /MakeMonPredAt /bi_affinely_if /bi_persistently_if + rewrite /Frame /MakeMonPredAt /bi_affinely_if /bi_persistently_if /IsBiIndexRel=> Hij <- <-. destruct p; by rewrite Hij monPred_at_sep ?monPred_at_affinely ?monPred_at_persistently. Qed. Global Instance frame_monPred_at_embed i p P Q ð“ ð“¡ : - Frame p ⎡ð“¡âŽ¤ P Q → MakeMonPredAt i Q ð“ → KnownFrame p ð“¡ (P i) ð“ . + Frame p ⎡ð“¡âŽ¤ P Q → MakeMonPredAt i Q ð“ → Frame p ð“¡ (P i) ð“ . Proof. - rewrite /KnownFrame /Frame /MakeMonPredAt /bi_affinely_if /bi_persistently_if=> <- <-. + rewrite /Frame /MakeMonPredAt /bi_affinely_if /bi_persistently_if=> <- <-. destruct p; by rewrite monPred_at_sep ?monPred_at_affinely ?monPred_at_persistently monPred_at_embed. Qed. diff --git a/theories/tests/proofmode.v b/theories/tests/proofmode.v index e013d4e38..329ec130b 100644 --- a/theories/tests/proofmode.v +++ b/theories/tests/proofmode.v @@ -370,15 +370,15 @@ Proof. Qed. Lemma iFrame_with_evar_r P Q : - ∃ R, (P -∗ Q -∗ P ∗ R) ∧ R = (Q ∗ emp)%I. + ∃ R, (P -∗ Q -∗ P ∗ R) ∧ R = Q. Proof. - eexists. split. iIntros "HP HQ". iFrame. iEmpIntro. done. + eexists. split. iIntros "HP HQ". iFrame. iApply "HQ". done. Qed. Lemma iFrame_with_evar_l P Q : - ∃ R, (P -∗ Q -∗ R ∗ P) ∧ R = (Q ∗ emp)%I. + ∃ R, (P -∗ Q -∗ R ∗ P) ∧ R = Q. Proof. - eexists. split. iIntros "HP HQ". iFrame "HQ". - iSplitR. iEmpIntro. done. done. + eexists. split. iIntros "HP HQ". Fail iFrame "HQ". + by iSplitR "HP". done. Qed. Lemma iFrame_with_evar_persistent P Q : ∃ R, (P -∗ â–¡ Q -∗ P ∗ R ∗ Q) ∧ R = emp%I. -- GitLab