Nuprl Lemma : std-initial-property
∀[M:Type ─→ Type]. ∀[S:System(P.M[P])]. ∀[r:pRunType(P.M[P])]. run-initialization(r;snd(S)) supposing std-initial(S)
Proof
Definitions occuring in Statement :
std-initial: std-initial(S),
run-initialization: run-initialization(r;G),
pRunType: pRunType(T.M[T]),
System: System(P.M[P]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
pi2: snd(t),
function: x:A ─→ B[x],
universe: Type
Lemmas :
decidable__lt,
lg-label_wf,
pInTransit_wf,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-commutes,
le-add-cancel2,
runEvents_wf,
int_seg_wf,
lg-size_wf,
list_wf,
component_wf,
ldag_wf,
nat_wf,
member-less_than,
pRunType_wf,
std-initial_wf,
System_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[S:System(P.M[P])].
\mforall{}[r:pRunType(P.M[P])]. run-initialization(r;snd(S)) supposing std-initial(S)
Date html generated:
2015_07_23-AM-11_16_04
Last ObjectModification:
2015_01_28-PM-11_19_40
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