Nuprl Lemma : prior-iterated-classrel_wf
∀[Info,A,S:Type]. ∀[init:Id ⟶ bag(S)]. ∀[f:A ⟶ S ⟶ S]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[s:S].
  (prior-iterated-classrel(es;A;S;s;X;f;init;e) ∈ ℙ)
Proof
Definitions occuring in Statement : 
prior-iterated-classrel: prior-iterated-classrel(es;A;S;s;X;f;init;e)
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
Id: Id
, 
uall: ∀[x:A]. B[x]
, 
prop: ℙ
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
universe: Type
, 
bag: bag(T)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
prior-iterated-classrel: prior-iterated-classrel(es;A;S;s;X;f;init;e)
, 
prop: ℙ
, 
and: P ∧ Q
, 
subtype_rel: A ⊆r B
, 
uimplies: b supposing a
, 
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{}[s:S].
    (prior-iterated-classrel(es;A;S;s;X;f;init;e)  \mmember{}  \mBbbP{})
Date html generated:
2016_05_16-PM-01_54_43
Last ObjectModification:
2015_12_29-PM-02_17_09
Theory : event-ordering
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