Nuprl Lemma : system-equiv-is-equiv
∀[M:Type ─→ Type]. EquivRel(System(P.M[P]);S1,S2.system-equiv(P.M[P];S1;S2)) supposing Continuous+(P.M[P])
Proof
Definitions occuring in Statement :
system-equiv: system-equiv(T.M[T];S1;S2),
System: System(P.M[P]),
equiv_rel: EquivRel(T;x,y.E[x; y]),
strong-type-continuous: Continuous+(T.F[T]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
function: x:A ─→ B[x],
universe: Type
Lemmas :
nat_wf,
process-equiv-is-equiv,
length_wf,
component_wf,
int_seg_properties,
select_wf,
int_seg_wf,
System_wf,
less_than_transitivity1,
le_weakening,
lelt_wf,
sq_stable__le,
Id_wf,
process-equiv_wf,
system-equiv_wf,
list_wf,
pMsg_wf,
strong-type-continuous_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
EquivRel(System(P.M[P]);S1,S2.system-equiv(P.M[P];S1;S2)) supposing Continuous+(P.M[P])
Date html generated:
2015_07_23-AM-11_08_17
Last ObjectModification:
2015_01_29-AM-00_09_10
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