### Nuprl Lemma : simple-loc-comb-2-concat-single-val

`∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B,C:Type]. ∀[F:Id ─→ A ─→ B ─→ bag(C)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].`
`  single-valued-classrel(es;F@Loc o (Loc,X, Y);C) `
`  supposing (∀i:Id. ∀a:A. ∀b:B.  (#(F i a b) ≤ 1)) ∧ single-valued-classrel(es;X;A) ∧ single-valued-classrel(es;Y;B)`

Proof

Definitions occuring in Statement :  concat-lifting-loc-2: `f@Loc` simple-loc-comb-2: `F o (Loc,X, Y)` 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]` le: `A ≤ B` all: `∀x:A. B[x]` and: `P ∧ Q` apply: `f a` function: `x:A ─→ B[x]` natural_number: `\$n` universe: `Type` bag-size: `#(bs)` bag: `bag(T)`

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A,B,C:Type].  \mforall{}[F:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  bag(C)].  \mforall{}[X:EClass(A)].
\mforall{}[Y:EClass(B)].
single-valued-classrel(es;F@Loc  o  (Loc,X,  Y);C)
supposing  (\mforall{}i:Id.  \mforall{}a:A.  \mforall{}b:B.    (\#(F  i  a  b)  \mleq{}  1))
\mwedge{}  single-valued-classrel(es;X;A)
\mwedge{}  single-valued-classrel(es;Y;B)

Date html generated: 2015_07_22-PM-00_15_53
Last ObjectModification: 2015_01_28-AM-10_45_40

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