Nuprl Lemma : classrel-implies-classfun-res
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E]. ∀[v:T].
  (v = X@e ∈ T) supposing (v ∈ X(e) and single-valued-classrel(es;X;T))
Proof
Definitions occuring in Statement : 
classfun-res: X@e
, 
single-valued-classrel: single-valued-classrel(es;X;T)
, 
classrel: v ∈ X(e)
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
universe: Type
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
single-valued-classrel: single-valued-classrel(es;X;T)
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
, 
uimplies: b supposing a
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
rev_implies: P 
⇐ Q
, 
implies: P 
⇒ Q
, 
exists: ∃x:A. B[x]
, 
prop: ℙ
, 
squash: ↓T
, 
classrel: v ∈ X(e)
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,T:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X:EClass(T)].  \mforall{}[e:E].  \mforall{}[v:T].
    (v  =  X@e)  supposing  (v  \mmember{}  X(e)  and  single-valued-classrel(es;X;T))
Date html generated:
2016_05_16-PM-01_45_37
Last ObjectModification:
2016_01_17-PM-07_47_17
Theory : event-ordering
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