Nuprl Lemma : fulpRunType-subtype
∀[M:Type ⟶ Type]. (fulpRunType(T.M[T]) ⊆r pRunType(T.M[T]))
Proof
Definitions occuring in Statement :
pRunType: pRunType(T.M[T]),
fulpRunType: fulpRunType(T.M[T]),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
so_apply: x[s],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
fulpRunType: fulpRunType(T.M[T]),
pRunType: pRunType(T.M[T]),
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
System: System(P.M[P]),
top: Top
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. (fulpRunType(T.M[T]) \msubseteq{}r pRunType(T.M[T]))
Date html generated:
2016_05_17-AM-10_39_53
Last ObjectModification:
2015_12_29-PM-05_24_57
Theory : process-model
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