Nuprl Lemma : subtype_rel-labeled-graph
∀[A,B:Type].  LabeledGraph(A) ⊆r LabeledGraph(B) supposing A ⊆r B
Proof
Definitions occuring in Statement : 
labeled-graph: LabeledGraph(T)
, 
uimplies: b supposing a
, 
subtype_rel: A ⊆r B
, 
uall: ∀[x:A]. B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
so_lambda: λ2x.t[x]
, 
member: t ∈ T
, 
so_apply: x[s]
, 
uimplies: b supposing a
, 
type-monotone: Monotone(T.F[T])
, 
subtype_rel: A ⊆r B
Latex:
\mforall{}[A,B:Type].    LabeledGraph(A)  \msubseteq{}r  LabeledGraph(B)  supposing  A  \msubseteq{}r  B
Date html generated:
2016_05_17-AM-10_07_57
Last ObjectModification:
2015_12_29-PM-05_34_12
Theory : process-model
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