Nuprl Lemma : rec-op-bind-class_wf
∀[Info,A,B:Type]. ∀[X:A ⟶ EClass(B)]. ∀[Y:A ⟶ EClass(A)]. ∀[F:A ⟶ bag(B) ⟶ bag(B)].
  rec-op-bind-class(X;Y;F) ∈ A ⟶ EClass(B) supposing not-self-starting{i:l}(Info;A;Y)
Proof
Definitions occuring in Statement : 
rec-op-bind-class: rec-op-bind-class(X;Y;F)
, 
not-self-starting: not-self-starting{i:l}(Info;A;Y)
, 
eclass: EClass(A[eo; e])
, 
uimplies: b supposing a
, 
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
, 
uimplies: b supposing a
, 
not-self-starting: not-self-starting{i:l}(Info;A;Y)
, 
all: ∀x:A. B[x]
, 
nat: ℕ
, 
implies: P 
⇒ Q
, 
false: False
, 
ge: i ≥ j 
, 
satisfiable_int_formula: satisfiable_int_formula(fmla)
, 
exists: ∃x:A. B[x]
, 
not: ¬A
, 
top: Top
, 
and: P ∧ Q
, 
prop: ℙ
, 
subtype_rel: A ⊆r B
, 
le: A ≤ B
, 
decidable: Dec(P)
, 
or: P ∨ Q
, 
less_than': less_than'(a;b)
, 
guard: {T}
, 
uiff: uiff(P;Q)
, 
eclass: EClass(A[eo; e])
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
rec-op-bind-class: rec-op-bind-class(X;Y;F)
, 
mbind-class: X >>= Y
, 
parallel-class: X || Y
, 
bind-class: X >x> Y[x]
, 
eclass-compose2: eclass-compose2(f;X;Y)
, 
so_lambda: λ2x.t[x]
, 
classrel: v ∈ X(e)
, 
so_apply: x[s]
, 
squash: ↓T
, 
true: True
, 
iff: P 
⇐⇒ Q
, 
sq_stable: SqStable(P)
, 
es-le: e ≤loc e' 
, 
rev_implies: P 
⇐ Q
, 
cand: A c∧ B
, 
less_than: a < b
Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[X:A  {}\mrightarrow{}  EClass(B)].  \mforall{}[Y:A  {}\mrightarrow{}  EClass(A)].  \mforall{}[F:A  {}\mrightarrow{}  bag(B)  {}\mrightarrow{}  bag(B)].
    rec-op-bind-class(X;Y;F)  \mmember{}  A  {}\mrightarrow{}  EClass(B)  supposing  not-self-starting\{i:l\}(Info;A;Y)
Date html generated:
2016_05_17-AM-00_33_24
Last ObjectModification:
2016_01_17-PM-06_39_56
Theory : event-ordering
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