Nuprl Lemma : run-initialization_wf

[M:Type ⟶ Type]. ∀[r:pRunType(P.M[P])]. ∀[G:LabeledGraph(pInTransit(P.M[P]))].  (run-initialization(r;G) ∈ ℙ)


Proof




Definitions occuring in Statement :  run-initialization: run-initialization(r;G) pRunType: pRunType(T.M[T]) pInTransit: pInTransit(P.M[P]) labeled-graph: LabeledGraph(T) uall: [x:A]. B[x] prop: so_apply: x[s] member: t ∈ T function: x:A ⟶ B[x] universe: Type
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T run-initialization: run-initialization(r;G) so_lambda: λ2x.t[x] so_apply: x[s] pInTransit: pInTransit(P.M[P]) pi1: fst(t)

Latex:
\mforall{}[M:Type  {}\mrightarrow{}  Type].  \mforall{}[r:pRunType(P.M[P])].  \mforall{}[G:LabeledGraph(pInTransit(P.M[P]))].
    (run-initialization(r;G)  \mmember{}  \mBbbP{})



Date html generated: 2016_05_17-AM-10_51_15
Last ObjectModification: 2015_12_29-PM-05_20_02

Theory : process-model


Home Index