Nuprl Definition : sys-order
13,45
postcript
pdf
sys-order(
es
;
Sys
;
f
)
==
a1
,
b1
:E(
Sys
).
==
a1
is
f
*(
b1
)
==
(
a2
,
b2
:E(
Sys
).
==
a2
is
f
*(
b2
)
(
a1
<loc
a2
)
(
a1
is
f
*(
a2
))
(loc(
b1
) = loc(
b2
))
(
b1
<loc
b2
))
latex
clarification:
sys-order(
es
;
Sys
;
f
)
==
a1
:es-E-interface(
es
;
Sys
),
b1
:es-E-interface(
es
;
Sys
).
==
fun-connected(es-E-interface(
es
;
Sys
);
f
;
b1
;
a1
)
==
(
a2
:es-E-interface(
es
;
Sys
),
b2
:es-E-interface(
es
;
Sys
).
==
fun-connected(es-E-interface(
es
;
Sys
);
f
;
b2
;
a2
)
==
es-locl(
es
;
a1
;
a2
)
==
(
fun-connected(es-E-interface(
es
;
Sys
);
f
;
a2
;
a1
))
==
(es-loc(
es
;
b1
) = es-loc(
es
;
b2
)
Id)
==
es-locl(
es
;
b1
;
b2
))
latex
Up
abstract chain replication
Wellformedness Lemmas
sys-order
wf
Definitions
x
:
A
.
B
(
x
)
,
A
,
y
is
f
*(
x
)
,
E(
X
)
,
P
Q
,
s
=
t
,
Id
,
loc(
e
)
,
(
e
<loc
e'
)
FDL editor aliases
sys-order
origin