Nuprl Lemma : class-at-single-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[T:Type]. ∀[X:EClass(T)]. ∀[locs:bag(Id)].
  single-valued-classrel(es;X@locs;T) supposing single-valued-classrel(es;X;T)
Proof
Definitions occuring in Statement : 
class-at: X@locs
, 
single-valued-classrel: single-valued-classrel(es;X;T)
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
Id: Id
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
universe: Type
, 
bag: bag(T)
Definitions unfolded in proof : 
single-valued-classrel: single-valued-classrel(es;X;T)
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
implies: P 
⇒ Q
, 
all: ∀x:A. B[x]
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
uimplies: b supposing a
Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[T:Type].  \mforall{}[X:EClass(T)].  \mforall{}[locs:bag(Id)].
    single-valued-classrel(es;X@locs;T)  supposing  single-valued-classrel(es;X;T)
Date html generated:
2016_05_17-AM-09_32_08
Last ObjectModification:
2015_12_29-PM-04_00_11
Theory : classrel!lemmas
Home
Index