Nuprl Lemma : std-env-reliable
∀nm:Id
∀[M:Type ─→ Type]
∀S0:InitialSystem(P.M[P]). ∀n2m:ℕ ─→ pMsg(P.M[P]). ∀l2m:Id ─→ pMsg(P.M[P]).
reliable-env(std-env(nm); pRun(S0;std-env(nm);n2m;l2m))
supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
std-env: std-env(nm),
reliable-env: reliable-env(env; r),
InitialSystem: InitialSystem(P.M[P]),
pRun: pRun(S0;env;nat2msg;loc2msg),
pMsg: pMsg(P.M[P]),
Id: Id,
strong-type-continuous: Continuous+(T.F[T]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
all: ∀x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
nat_wf,
decidable__le,
false_wf,
not-le-2,
sq_stable__le,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
le_wf,
decidable__lt,
add-mul-special,
zero-mul,
less_than_wf,
equal-wf-base,
Id_wf,
pMsg_wf,
InitialSystem_wf,
strong-type-continuous_wf
Latex:
\mforall{}nm:Id
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}S0:InitialSystem(P.M[P]). \mforall{}n2m:\mBbbN{} {}\mrightarrow{} pMsg(P.M[P]). \mforall{}l2m:Id {}\mrightarrow{} pMsg(P.M[P]).
reliable-env(std-env(nm); pRun(S0;std-env(nm);n2m;l2m))
supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_19_26
Last ObjectModification:
2015_01_28-PM-11_17_38
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