Nuprl Lemma : classrel-classfun-res
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E]. ∀[v:T].
  (uiff(v ∈ X(e);v = X@e ∈ T)) supposing (single-valued-classrel(es;X;T) and (↑e ∈b X))
Proof
Definitions occuring in Statement : 
classfun-res: X@e
, 
single-valued-classrel: single-valued-classrel(es;X;T)
, 
classrel: v ∈ X(e)
, 
member-eclass: e ∈b X
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
assert: ↑b
, 
uiff: uiff(P;Q)
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
universe: Type
, 
equal: s = t ∈ T
Lemmas : 
classrel_wf, 
equal_wf, 
classfun-res_wf, 
single-valued-classrel_wf, 
assert_wf, 
member-eclass_wf, 
es-E_wf, 
event-ordering+_subtype, 
eclass_wf, 
event-ordering+_wf, 
bag-member-classfun-res
\mforall{}[Info,T:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(T)].  \mforall{}[e:E].  \mforall{}[v:T].
    (uiff(v  \mmember{}  X(e);v  =  X@e))  supposing  (single-valued-classrel(es;X;T)  and  (\muparrow{}e  \mmember{}\msubb{}  X))
Date html generated:
2015_07_17-PM-00_21_47
Last ObjectModification:
2015_01_27-PM-11_39_41
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