Nuprl Lemma : Accum-class_wf
∀[Info,B,A:Type]. ∀[f:A ⟶ B ⟶ B]. ∀[init:Id ⟶ bag(B)]. ∀[X:EClass(A)].  (Accum-class(f;init;X) ∈ EClass(B))
Proof
Definitions occuring in Statement : 
Accum-class: Accum-class(f;init;X)
, 
eclass: EClass(A[eo; e])
, 
Id: Id
, 
uall: ∀[x:A]. B[x]
, 
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
, 
Accum-class: Accum-class(f;init;X)
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,A:Type].  \mforall{}[f:A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].
    (Accum-class(f;init;X)  \mmember{}  EClass(B))
Date html generated:
2016_05_17-AM-09_21_14
Last ObjectModification:
2015_12_29-PM-04_06_41
Theory : classrel!lemmas
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