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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