Nuprl Lemma : run-command_wf
∀[M:Type ─→ Type]. ∀[r:pRunType(P.M[P])]. ∀[t,n:ℕ].
run-command(r;t;n) ∈ pInTransit(P.M[P]) supposing run-command-node(r;t;n)
Proof
Definitions occuring in Statement :
run-command: run-command(r;t;n),
run-command-node: run-command-node(r;t;n),
pRunType: pRunType(T.M[T]),
pInTransit: pInTransit(P.M[P]),
nat: ℕ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
run-command-node_wf,
nat_wf,
pRunType_wf,
Id_wf,
pMsg_wf,
unit_wf2,
top_wf,
ldag_wf,
pInTransit_wf,
lg-label_wf,
lelt_wf,
lg-size_wf,
less_than_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[r:pRunType(P.M[P])]. \mforall{}[t,n:\mBbbN{}].
run-command(r;t;n) \mmember{} pInTransit(P.M[P]) supposing run-command-node(r;t;n)
Date html generated:
2015_07_23-AM-11_17_21
Last ObjectModification:
2015_01_28-PM-11_17_47
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