Nuprl Lemma : sub-system_wf
∀[M:Type ⟶ Type]. ∀[S1,S2:System(P.M[P])]. (sub-system(P.M[P];S1;S2) ∈ ℙ)
Proof
Definitions occuring in Statement :
sub-system: sub-system(P.M[P];S1;S2),
System: System(P.M[P]),
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
sub-system: sub-system(P.M[P];S1;S2),
System: System(P.M[P]),
so_lambda: λ2x.t[x],
so_apply: x[s],
ldag: LabeledDAG(T)
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[S1,S2:System(P.M[P])]. (sub-system(P.M[P];S1;S2) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-11_03_37
Last ObjectModification:
2015_12_29-PM-05_17_37
Theory : process-model
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