Nuprl Lemma : run-system_wf
∀[M:Type ─→ Type]. ∀[r:fulpRunType(P.M[P])]. ∀[t:ℕ+]. (run-system(r;t) ∈ System(P.M[P]))
Proof
Definitions occuring in Statement :
run-system: run-system(r;t),
fulpRunType: fulpRunType(T.M[T]),
System: System(P.M[P]),
nat_plus: ℕ+,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
subtract_wf,
decidable__le,
false_wf,
not-le-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
le_wf,
Id_wf,
pMsg_wf,
unit_wf2,
System_wf,
nat_plus_wf,
nat_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:fulpRunType(P.M[P])]. \mforall{}[t:\mBbbN{}\msupplus{}]. (run-system(r;t) \mmember{} System(P.M[P]))
Date html generated:
2015_07_23-AM-11_10_16
Last ObjectModification:
2015_01_29-AM-00_08_06
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