diff --git a/theories/base_logic/lib/saved_prop.v b/theories/base_logic/lib/saved_prop.v index c07150d1f04acd700f99789840f554d925a790b6..73a957514e239b66e994274b5dc880109ebbf017 100644 --- a/theories/base_logic/lib/saved_prop.v +++ b/theories/base_logic/lib/saved_prop.v @@ -81,23 +81,23 @@ Qed. Notation savedPredG Σ A := (savedAnythingG Σ (constCF A -n> ▶ ∙)). Notation savedPredΣ A := (savedAnythingΣ (constCF A -n> ▶ ∙)). -Definition saved_pred_own `{savedPredG Σ A} (γ : gname) (f: A -n> iProp Σ) := - saved_anything_own (F := A -n> ▶ ∙) γ (CofeMor Next ◎ f). +Definition saved_pred_own `{savedPredG Σ A} (γ : gname) (Φ : A -n> iProp Σ) := + saved_anything_own (F := A -n> ▶ ∙) γ (CofeMor Next ◎ Φ). -Lemma saved_pred_alloc_strong `{savedPredG Σ A} (G : gset gname) (f: A -n> iProp Σ) : - (|==> ∃ γ, ⌜γ ∉ G⌠∧ saved_pred_own γ f)%I. +Lemma saved_pred_alloc_strong `{savedPredG Σ A} (G : gset gname) (Φ : A -n> iProp Σ) : + (|==> ∃ γ, ⌜γ ∉ G⌠∧ saved_pred_own γ Φ)%I. Proof. iApply saved_anything_alloc_strong. Qed. -Lemma saved_pred_alloc `{savedPredG Σ A} (f: A -n> iProp Σ) : - (|==> ∃ γ, saved_pred_own γ f)%I. +Lemma saved_pred_alloc `{savedPredG Σ A} (Φ : A -n> iProp Σ) : + (|==> ∃ γ, saved_pred_own γ Φ)%I. Proof. iApply saved_anything_alloc. Qed. (* We put the `x` on the outside to make this lemma easier to apply. *) -Lemma saved_pred_agree `{savedPredG Σ A} γ f g x : - saved_pred_own γ f -∗ saved_pred_own γ g -∗ ▷ (f x ≡ g x). +Lemma saved_pred_agree `{savedPredG Σ A} γ Φ Ψ x : + saved_pred_own γ Φ -∗ saved_pred_own γ Ψ -∗ ▷ (Φ x ≡ Ψ x). Proof. - iIntros "Hx Hy". unfold saved_pred_own. iApply later_equivI. - iDestruct (ofe_morC_equivI (CofeMor Next ◎ f) (CofeMor Next ◎ g)) as "[FE _]". + iIntros "HΦ HΨ". unfold saved_pred_own. iApply later_equivI. + iDestruct (ofe_morC_equivI (CofeMor Next ◎ Φ) (CofeMor Next ◎ Ψ)) as "[FE _]". simpl. iApply ("FE" with "[-]"). - iApply (saved_anything_agree with "Hx Hy"). + iApply (saved_anything_agree with "HΦ HΨ"). Qed.