### Nuprl Lemma : simple-loc-comb-1-concat-single-val

`∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[F:Id ─→ A ─→ bag(B)]. ∀[X:EClass(A)].`
`  (single-valued-classrel(es;F@(Loc, X);B)) supposing `
`     ((∀i:Id. ∀a:A. ∀e:E.  (a ∈ X(e) `` single-valued-bag(F i a;B))) and `
`     single-valued-classrel(es;X;A))`

Proof

Definitions occuring in Statement :  concat-lifting-loc-1: `f@` simple-loc-comb-1: `F(Loc, X)` 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` Id: `Id` uimplies: `b supposing a` uall: `∀[x:A]. B[x]` all: `∀x:A. B[x]` implies: `P `` Q` apply: `f a` function: `x:A ─→ B[x]` universe: `Type` single-valued-bag: `single-valued-bag(b;T)` bag: `bag(T)`
Lemmas :  simple-loc-comb-1-concat-classrel bag-member_wf es-loc_wf classrel_wf simple-loc-comb-1_wf concat-lifting-loc-1_wf es-E_wf event-ordering+_subtype all_wf Id_wf single-valued-bag_wf single-valued-classrel_wf eclass_wf event-ordering+_wf bag_wf

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A,B:Type].  \mforall{}[F:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].
(single-valued-classrel(es;F@(Loc,  X);B))  supposing
((\mforall{}i:Id.  \mforall{}a:A.  \mforall{}e:E.    (a  \mmember{}  X(e)  {}\mRightarrow{}  single-valued-bag(F  i  a;B)))  and
single-valued-classrel(es;X;A))

Date html generated: 2015_07_22-PM-00_16_01
Last ObjectModification: 2015_01_28-AM-10_43_45

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