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
Lemmas :
sublist_wf,
component_wf,
lg-contains_wf,
pInTransit_wf,
System_wf
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:
2015_07_23-AM-11_19_36
Last ObjectModification:
2015_01_28-PM-11_17_21
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