Nuprl Lemma : es-tags-dt-cap

[l:IdLnk]. ∀[tgs:Id List]. ∀[da:k:Knd fp-> Type]. ∀[T:Top]. ∀[tg:Id].
  dt(l;tgs;da)(tg)?T da(rcv(l,tg))?Void supposing (tg ∈ tgs)


Proof




Definitions occuring in Statement :  es-tags-dt: dt(l;tgs;da) fpf-cap: f(x)?z fpf: a:A fp-> B[a] Kind-deq: KindDeq rcv: rcv(l,tg) Knd: Knd IdLnk: IdLnk id-deq: IdDeq Id: Id l_member: (x ∈ l) list: List uimplies: supposing a uall: [x:A]. B[x] top: Top void: Void universe: Type sqequal: t
Definitions unfolded in proof :  fpf-cap: f(x)?z es-tags-dt: dt(l;tgs;da) all: x:A. B[x] member: t ∈ T top: Top fpf-dom: x ∈ dom(f) mk_fpf: mk_fpf(L;f) pi1: fst(t) uall: [x:A]. B[x] prop: not: ¬A implies:  Q false: False so_lambda: λ2x.t[x] so_apply: x[s] uimplies: supposing a bool: 𝔹 unit: Unit it: btrue: tt iff: ⇐⇒ Q and: P ∧ Q rev_implies:  Q ifthenelse: if then else fi  bfalse: ff

Latex:
\mforall{}[l:IdLnk].  \mforall{}[tgs:Id  List].  \mforall{}[da:k:Knd  fp->  Type].  \mforall{}[T:Top].  \mforall{}[tg:Id].
    dt(l;tgs;da)(tg)?T  \msim{}  da(rcv(l,tg))?Void  supposing  (tg  \mmember{}  tgs)



Date html generated: 2016_05_16-AM-11_39_20
Last ObjectModification: 2015_12_29-AM-09_34_07

Theory : event-ordering


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