diff --git a/theories/bi/updates.v b/theories/bi/updates.v index f0069a565293c13b5d0367924b4af840035ff226..4ffe8d1761388d6a285374f0881e3f9952a11c82 100644 --- a/theories/bi/updates.v +++ b/theories/bi/updates.v @@ -79,6 +79,10 @@ Class BiBUpdPlainly (PROP : sbi) `{!BiBUpd PROP, !BiPlainly PROP} := bupd_plainly (P : PROP) : (|==> ■P) -∗ P. Hint Mode BiBUpdPlainly ! - - : typeclass_instances. +(** These rules for the interaction between the [■] and [|={E1,E2=>] modalities +only make sense for affine logics. From the axioms below, one could derive +[■P ={E}=∗ P] (see the lemma [fupd_plainly_elim]), which in turn gives +[True ={E}=∗ emp]. *) Class BiFUpdPlainly (PROP : sbi) `{!BiFUpd PROP, !BiPlainly PROP} := { fupd_plainly_mask_empty E (P : PROP) : (|={E,∅}=> ■P) ⊢ |={E}=> P;