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)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
member: t ∈ T
, 
squash: ↓T
, 
sq_stable: SqStable(P)
, 
implies: P 
⇒ Q
, 
prop: ℙ
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
Latex:
\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:
2016_05_16-PM-01_47_41
Last ObjectModification:
2016_01_17-PM-07_44_46
Theory : event-ordering
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