Nuprl Lemma : lg-append-nil

[T:Type]. ∀[g:LabeledGraph(T)].  (lg-append(g;lg-nil()) g ∈ LabeledGraph(T))


Proof




Definitions occuring in Statement :  lg-append: lg-append(g1;g2) lg-nil: lg-nil() labeled-graph: LabeledGraph(T) uall: [x:A]. B[x] universe: Type equal: t ∈ T
Definitions unfolded in proof :  lg-nil: lg-nil() lg-append: lg-append(g1;g2) all: x:A. B[x] member: t ∈ T top: Top uall: [x:A]. B[x] subtype_rel: A ⊆B labeled-graph: LabeledGraph(T) so_lambda: λ2x.t[x] so_apply: x[s]

Latex:
\mforall{}[T:Type].  \mforall{}[g:LabeledGraph(T)].    (lg-append(g;lg-nil())  =  g)



Date html generated: 2016_05_17-AM-10_08_13
Last ObjectModification: 2015_12_29-PM-05_34_01

Theory : process-model


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