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