Nuprl Lemma : squash-iterated_classrel
∀[Info,A,S:Type]. ∀[init:Id ─→ bag(S)]. ∀[f:A ─→ S ─→ S]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:S].
uiff(↓iterated_classrel(es;S;A;f;init;X;e;v);iterated_classrel(es;S;A;f;init;X;e;v))
Proof
Definitions occuring in Statement :
iterated_classrel: iterated_classrel(es;S;A;f;init;X;e;v),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
squash: ↓T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
sq_stable__iterated_classrel,
squash_wf,
iterated_classrel_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
\mforall{}[Info,A,S:Type]. \mforall{}[init:Id {}\mrightarrow{} bag(S)]. \mforall{}[f:A {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[v:S].
uiff(\mdownarrow{}iterated\_classrel(es;S;A;f;init;X;e;v);iterated\_classrel(es;S;A;f;init;X;e;v))
Date html generated:
2015_07_17-PM-00_23_06
Last ObjectModification:
2015_01_27-PM-11_36_14
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