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Rodolphe Lepigre
Iris
Commits
e5bb24e7
Commit
e5bb24e7
authored
Apr 05, 2017
by
Jacques-Henri Jourdan
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Typos.
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0495154c
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theories/base_logic/upred.v
theories/base_logic/upred.v
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theories/base_logic/upred.v
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e5bb24e7
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@@ -18,16 +18,17 @@ Record uPred (M : ucmraT) : Type := IProp {
otherwise this condition is no longer limit preserving, and uPred
does no longer form a COFE (i.e., [uPred_compl] breaks). This is
because the distance and equivalence on this cofe ignores the
truth val
id
on invalid elements. This, in turn
s
, is required by
truth val
ue
on invalid elements. This, in turn, is required by
the fact that entailment has to ignore invalid elements, which is
itself essential for proving [ownM_valid].
We could, actually, make the following condition true even for
invalid elements: we have proved that uPred is isomorphic to a
sub-COFE of the COFE of predicates that are monotonous both with
respect to the step index and with respect to x. However, that
would essentially require changing (by making more complicated)
the model of many connectives of the logic, which we don't want. *)
We could, actually, remove this restriction and make this
condition apply even to invalid elements: we have proved that
uPred is isomorphic to a sub-COFE of the COFE of predicates that
are monotonous both with respect to the step index and with
respect to x. However, that would essentially require changing
(by making it more complicated) the model of many connectives of
the logic, which we don't want. *)
uPred_closed
n1
n2
x
:
uPred_holds
n1
x
→
n2
≤
n1
→
✓
{
n2
}
x
→
uPred_holds
n2
x
}.
Arguments
uPred_holds
{
_
}
_
_
_
:
simpl
never
.
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