Commit 0b092348 authored by Ralf Jung's avatar Ralf Jung Committed by Robbert Krebbers
Browse files

core: don't use the turnstile inside the logic

parent daef264e
......@@ -5,7 +5,7 @@ Import uPred.
(** The "core" of an assertion is its maximal persistent part. *)
Definition coreP {M : ucmraT} (P : uPred M) : uPred M :=
( `(!Persistent Q), (P Q) Q)%I.
( Q, (Q Q) (P Q) Q)%I.
Instance: Params (@coreP) 1.
Typeclasses Opaque coreP.
......@@ -14,10 +14,15 @@ Section core.
Implicit Types P Q : uPred M.
Lemma coreP_intro P : P - coreP P.
Proof. rewrite /coreP. iIntros "HP". iIntros (Q HQ) "HPQ". by iApply "HPQ". Qed.
Proof. rewrite /coreP. iIntros "HP" (Q) "_ HPQ". by iApply "HPQ". Qed.
Global Instance coreP_persistent P : Persistent (coreP P).
Proof. rewrite /coreP. apply _. Qed.
Proof.
rewrite /coreP /Persistent. iIntros "HC" (Q).
iApply persistently_impl_plainly. iIntros "#HQ".
iApply persistently_impl_plainly. iIntros "#HPQ".
iApply "HQ". by iApply "HC".
Qed.
Global Instance coreP_ne : NonExpansive (@coreP M).
Proof. solve_proper. Qed.
......@@ -26,8 +31,8 @@ Section core.
Global Instance coreP_mono : Proper (() ==> ()) (@coreP M).
Proof.
rewrite /coreP. iIntros (P P' HP) "H"; iIntros (Q ?) "#HPQ".
iApply ("H" $! Q with "[]"). by rewrite HP.
rewrite /coreP. iIntros (P P' HP) "H"; iIntros (Q) "#HQ #HPQ".
iApply ("H" $! Q with "[]"); first done. by rewrite HP.
Qed.
Lemma coreP_elim P : Persistent P coreP P - P.
......
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