Commit 7177cd8d by Robbert Krebbers

### Remove `bi_hforall` and `bi_hexist`, these are superseded by the telescoped versions.

parent 220e7379
 From iris.bi Require Export interface. From iris.bi Require Export interface. From iris.algebra Require Import monoid. From iris.algebra Require Import monoid. From stdpp Require Import hlist. Definition bi_iff {PROP : bi} (P Q : PROP) : PROP := ((P → Q) ∧ (Q → P))%I. Definition bi_iff {PROP : bi} (P Q : PROP) : PROP := ((P → Q) ∧ (Q → P))%I. Arguments bi_iff {_} _%I _%I : simpl never. Arguments bi_iff {_} _%I _%I : simpl never. ... @@ -77,17 +76,6 @@ Instance: Params (@bi_intuitionistically_if) 2. ... @@ -77,17 +76,6 @@ Instance: Params (@bi_intuitionistically_if) 2. Typeclasses Opaque bi_intuitionistically_if. Typeclasses Opaque bi_intuitionistically_if. Notation "'□?' p P" := (bi_intuitionistically_if p P) : bi_scope. Notation "'□?' p P" := (bi_intuitionistically_if p P) : bi_scope. Fixpoint bi_hexist {PROP : bi} {As} : himpl As PROP → PROP := match As return himpl As PROP → PROP with | tnil => id | tcons A As => λ Φ, ∃ x, bi_hexist (Φ x) end%I. Fixpoint bi_hforall {PROP : bi} {As} : himpl As PROP → PROP := match As return himpl As PROP → PROP with | tnil => id | tcons A As => λ Φ, ∀ x, bi_hforall (Φ x) end%I. Fixpoint sbi_laterN {PROP : sbi} (n : nat) (P : PROP) : PROP := Fixpoint sbi_laterN {PROP : sbi} (n : nat) (P : PROP) : PROP := match n with match n with | O => P | O => P ... ...
 From iris.bi Require Export derived_connectives. From iris.bi Require Export derived_connectives. From iris.algebra Require Import monoid. From iris.algebra Require Import monoid. From stdpp Require Import hlist. (** Naming schema for lemmas about modalities: (** Naming schema for lemmas about modalities: M1_into_M2: M1 P ⊢ M2 P M1_into_M2: M1 P ⊢ M2 P ... @@ -1449,31 +1448,6 @@ Global Instance bi_persistently_sep_entails_homomorphism : ... @@ -1449,31 +1448,6 @@ Global Instance bi_persistently_sep_entails_homomorphism : MonoidHomomorphism bi_sep bi_sep (flip (⊢)) (@bi_persistently PROP). MonoidHomomorphism bi_sep bi_sep (flip (⊢)) (@bi_persistently PROP). Proof. split. apply _. simpl. apply persistently_emp_intro. Qed. Proof. split. apply _. simpl. apply persistently_emp_intro. Qed. (* Heterogeneous lists *) Lemma hexist_exist {As B} (f : himpl As B) (Φ : B → PROP) : bi_hexist (hcompose Φ f) ⊣⊢ ∃ xs : hlist As, Φ (f xs). Proof. apply (anti_symm _). - induction As as [|A As IH]; simpl. + by rewrite -(exist_intro hnil) . + apply exist_elim=> x; rewrite IH; apply exist_elim=> xs. by rewrite -(exist_intro (hcons x xs)). - apply exist_elim=> xs; induction xs as [|A As x xs IH]; simpl; auto. by rewrite -(exist_intro x) IH. Qed. Lemma hforall_forall {As B} (f : himpl As B) (Φ : B → PROP) : bi_hforall (hcompose Φ f) ⊣⊢ ∀ xs : hlist As, Φ (f xs). Proof. apply (anti_symm _). - apply forall_intro=> xs; induction xs as [|A As x xs IH]; simpl; auto. by rewrite (forall_elim x) IH. - induction As as [|A As IH]; simpl. + by rewrite (forall_elim hnil) . + apply forall_intro=> x; rewrite -IH; apply forall_intro=> xs. by rewrite (forall_elim (hcons x xs)). Qed. (* Limits *) (* Limits *) Lemma limit_preserving_entails {A : ofeT} `{Cofe A} (Φ Ψ : A → PROP) : Lemma limit_preserving_entails {A : ofeT} `{Cofe A} (Φ Ψ : A → PROP) : NonExpansive Φ → NonExpansive Ψ → LimitPreserving (λ x, Φ x ⊢ Ψ x). NonExpansive Φ → NonExpansive Ψ → LimitPreserving (λ x, Φ x ⊢ Ψ x). ... @@ -1492,5 +1466,4 @@ Global Instance limit_preserving_Persistent {A:ofeT} `{Cofe A} (Φ : A → PROP) ... @@ -1492,5 +1466,4 @@ Global Instance limit_preserving_Persistent {A:ofeT} `{Cofe A} (Φ : A → PROP) NonExpansive Φ → LimitPreserving (λ x, Persistent (Φ x)). NonExpansive Φ → LimitPreserving (λ x, Persistent (Φ x)). Proof. intros. apply limit_preserving_entails; solve_proper. Qed. Proof. intros. apply limit_preserving_entails; solve_proper. Qed. End bi_derived. End bi_derived. End bi. End bi.
 From iris.algebra Require Import monoid. From iris.algebra Require Import monoid. From iris.bi Require Import interface derived_laws_sbi big_op plainly updates. From iris.bi Require Import interface derived_laws_sbi big_op plainly updates. From stdpp Require Import hlist. Class Embed (A B : Type) := embed : A → B. Class Embed (A B : Type) := embed : A → B. Arguments embed {_ _ _} _%I : simpl never. Arguments embed {_ _ _} _%I : simpl never. ... @@ -189,13 +188,6 @@ Section embed. ... @@ -189,13 +188,6 @@ Section embed. ⎡□?b P⎤ ⊣⊢ □?b ⎡P⎤. ⎡□?b P⎤ ⊣⊢ □?b ⎡P⎤. Proof. destruct b; simpl; auto using embed_intuitionistically. Qed. Proof. destruct b; simpl; auto using embed_intuitionistically. Qed. Lemma embed_hforall {As} (Φ : himpl As PROP1): ⎡bi_hforall Φ⎤ ⊣⊢ bi_hforall (hcompose embed Φ). Proof. induction As=>//. rewrite /= embed_forall. by do 2 f_equiv. Qed. Lemma embed_hexist {As} (Φ : himpl As PROP1): ⎡bi_hexist Φ⎤ ⊣⊢ bi_hexist (hcompose embed Φ). Proof. induction As=>//. rewrite /= embed_exist. by do 2 f_equiv. Qed. Global Instance embed_persistent P : Persistent P → Persistent ⎡P⎤. Global Instance embed_persistent P : Persistent P → Persistent ⎡P⎤. Proof. intros ?. by rewrite /Persistent -embed_persistently -persistent. Qed. Proof. intros ?. by rewrite /Persistent -embed_persistently -persistent. Qed. Global Instance embed_affine `{!BiEmbedEmp PROP1 PROP2} P : Affine P → Affine ⎡P⎤. Global Instance embed_affine `{!BiEmbedEmp PROP1 PROP2} P : Affine P → Affine ⎡P⎤. ... ...
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