Nuprl Lemma : ma-knows-knows
0,22
postcript
pdf
poss
:(ES{i}
Prop{i'}),
T
:Type{i},
s
:
T
,
i
:Id,
P
:(possible-event{i:l}(
poss
)
Prop{i'}),
R
:(possible-event{i:l}(
poss
)
possible-event{i:l}(
poss
)
Prop{i'}),
Rs
:(
T
T
Prop{i'}).
(Trans
_1
,
_2
:possible-event{i:l}(
poss
).
R
(
_1
,
_2
))
ma-knows{i:l}
ma-knows
(
poss
;
i
;
T
;
s
;
P
;
Rs
;
R
)
ma-knows{i:l}
ma-knows
(
poss
;
i
;
T
;
s
; (
e
.es-knows{i:l}(
poss
;
R
;
P
;
e
));
Rs
;
R
)
latex
Definitions
t
T
,
P
Q
,
x
:
A
.
B
(
x
)
,
K(
P
)@
e
,
Type
,
Prop
,
ES
,
x
:
A
B
(
x
)
,
Id
,
PossibleEvent(
poss
)
,
f
(
a
)
,
x
,
y
.
t
(
x
;
y
)
,
Trans
x
,
y
:
T
.
E
(
x
;
y
)
,
poss-consistent(
i
;
T
;
s
;
ev
;
R
)
,
Atom$n
,
x
:
A
B
(
x
)
,
A
&
B
,
K
i
(
P
)@
s
Lemmas
poss-consistent
wf
,
es-knows
wf
,
trans
wf
,
possible-event
wf
,
Id
wf
,
event
system
wf
,
es-knows-knows
origin