Nuprl Lemma : nysiad_headers_fun_wf

∀[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom List]. ∀[mf:Name ⟶ Type].
  (nysiad_headers_fun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf) ∈ Name
   ⟶ Type)


Proof




Definitions occuring in Statement :  nysiad_headers_fun: nysiad_headers_fun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf),  name: Name,  list: T List,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ⟶ B[x],  atom: Atom,  universe: Type
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  nysiad_headers_fun: nysiad_headers_fun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;tooarcasthdr;mf),  name: Name,  all: ∀x:A. B[x],  implies: P ⇒ Q,  bool: 𝔹,  unit: Unit,  it: ⋅,  btrue: tt,  ifthenelse: if b then t else f fi ,  uiff: uiff(P;Q),  and: P ∧ Q,  uimplies: b supposing a,  bfalse: ff,  exists: ∃x:A. B[x],  prop: ℙ,  or: P ∨ Q,  sq_type: SQType(T),  guard: {T},  bnot: ¬bb,  assert: ↑b,  false: False,  not: ¬A,  subtype_rel: A ⊆r B

Latex:
\mforall{}[add2baghdr,addwaitinghdr,adeliverhdr,inputmsghdr,kdeliverhdr,readyhdr,tooarcasthdr:Atom  List].
\mforall{}[mf:Name  {}\mrightarrow{}  Type].
    (nysiad\_headers\_fun(add2baghdr;addwaitinghdr;adeliverhdr;inputmsghdr;kdeliverhdr;readyhdr;...;mf)
      \mmember{}  Name  {}\mrightarrow{}  Type)



Date html generated: 2016_05_17-PM-01_18_06
Last ObjectModification: 2015_12_29-PM-06_15_50

Theory : event-logic-applications


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