Nuprl Lemma : add-cause_wf
∀[M:Type ─→ Type]. ∀[ev:ℕ × Id]. ∀[ext:pExt(P.M[P])]. (add-cause(ev;ext) ∈ LabeledDAG(pInTransit(P.M[P])))
Proof
Definitions occuring in Statement :
add-cause: add-cause(ev;ext),
pInTransit: pInTransit(P.M[P]),
pExt: pExt(P.M[P]),
ldag: LabeledDAG(T),
Id: Id,
nat: ℕ,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
ldag_wf,
Id_wf,
pCom_wf,
nat_wf,
lg-map-wf_dag
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[ev:\mBbbN{} \mtimes{} Id]. \mforall{}[ext:pExt(P.M[P])].
(add-cause(ev;ext) \mmember{} LabeledDAG(pInTransit(P.M[P])))
Date html generated:
2015_07_23-AM-11_08_32
Last ObjectModification:
2015_01_29-AM-00_09_15
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