Nuprl Lemma : subtype_rel-ldag
∀[A,B:Type]. LabeledDAG(A) ⊆r LabeledDAG(B) supposing A ⊆r B
Proof
Definitions occuring in Statement :
ldag: LabeledDAG(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]. LabeledDAG(A) \msubseteq{}r LabeledDAG(B) supposing A \msubseteq{}r B
Date html generated:
2016_05_17-AM-10_11_49
Last ObjectModification:
2015_12_29-PM-05_31_54
Theory : process-model
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