{ 
[es:EO]. [T:Type].
[f:T 
T]. [e:T]. (f**(e) 
T) supposing x:T. f x c
x
supposing strong-subtype(T;E) }
{ Proof }
Definitions occuring in Statement :
es-fix: f**(e),
es-causle: e c e',
es-E: E,
event_ordering: EO,
uimplies: b supposing a,
uall: [x:A]. B[x],
all: x:A. B[x],
member: t T,
apply: f a,
function: x:A B[x],
universe: Type,
strong-subtype: strong-subtype(A;B)
Definitions :
uall: [x:A]. B[x],
uimplies: b supposing a,
all: x:A. B[x],
member: t T,
prop: 
,
es-fix: f**(e),
strong-subtype: strong-subtype(A;B),
cand: A c
B,
implies: P 
Q
Lemmas :
es-causle_wf,
strong-subtype_wf,
es-E_wf,
event_ordering_wf,
fix_wf,
es-eq_wf,
strong-subtype-deq-subtype,
es-causle-retraction
\mforall{}[es:EO]. \mforall{}[T:Type].
\mforall{}[f:T {}\mrightarrow{} T]. \mforall{}[e:T]. (f**(e) \mmember{} T) supposing \mforall{}x:T. f x c\mleq{} x supposing strong-subtype(T;E)
Date html generated:
2011_08_16-AM-10_32_27
Last ObjectModification:
2011_06_18-AM-09_14_03
Home
Index