Nuprl Lemma : new_23_sig_add_to_quorum_wf

∀[Cmd:ValueAllType]
  (new_23_sig_add_to_quorum(Cmd) ∈ (ℤ × ℤ)
   ⟶ Id
   ⟶ (ℤ × ℤ × Cmd × Id)
   ⟶ (Cmd List × (Id List))
   ⟶ (Cmd List × (Id List)))


Proof




Definitions occuring in Statement :  new_23_sig_add_to_quorum: new_23_sig_add_to_quorum(Cmd),  Id: Id,  list: T List,  vatype: ValueAllType,  uall: ∀[x:A]. B[x],  member: t ∈ T,  function: x:A ⟶ B[x],  product: x:A × B[x],  int: ℤ
Definitions unfolded in proof :  vatype: ValueAllType,  uall: ∀[x:A]. B[x],  member: t ∈ T,  new_23_sig_add_to_quorum: new_23_sig_add_to_quorum(Cmd)

Latex:
\mforall{}[Cmd:ValueAllType]
    (new\_23\_sig\_add\_to\_quorum(Cmd)  \mmember{}  (\mBbbZ{}  \mtimes{}  \mBbbZ{})
      {}\mrightarrow{}  Id
      {}\mrightarrow{}  (\mBbbZ{}  \mtimes{}  \mBbbZ{}  \mtimes{}  Cmd  \mtimes{}  Id)
      {}\mrightarrow{}  (Cmd  List  \mtimes{}  (Id  List))
      {}\mrightarrow{}  (Cmd  List  \mtimes{}  (Id  List)))



Date html generated: 2016_05_17-PM-02_02_47
Last ObjectModification: 2015_12_29-PM-08_09_44

Theory : 2!3!consensus!with!signatures


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