Nuprl Lemma : new_23_sig_when_new_proposal_wf
∀[Cmd:ValueAllType]. ∀[slots:set-sig{i:l}(ℤ)].
  (new_23_sig_when_new_proposal(Cmd;slots) ∈ Id ⟶ (ℤ × Cmd) ⟶ set-sig-set(slots) ⟶ bag(ℤ × Cmd))
Proof
Definitions occuring in Statement : 
new_23_sig_when_new_proposal: new_23_sig_when_new_proposal(Cmd;slots)
, 
set-sig-set: set-sig-set(s)
, 
set-sig: set-sig{i:l}(Item)
, 
Id: Id
, 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
function: x:A ⟶ B[x]
, 
product: x:A × B[x]
, 
int: ℤ
, 
bag: bag(T)
Definitions unfolded in proof : 
vatype: ValueAllType
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
new_23_sig_when_new_proposal: new_23_sig_when_new_proposal(Cmd;slots)
, 
all: ∀x:A. B[x]
Latex:
\mforall{}[Cmd:ValueAllType].  \mforall{}[slots:set-sig\{i:l\}(\mBbbZ{})].
    (new\_23\_sig\_when\_new\_proposal(Cmd;slots)  \mmember{}  Id  {}\mrightarrow{}  (\mBbbZ{}  \mtimes{}  Cmd)  {}\mrightarrow{}  set-sig-set(slots)  {}\mrightarrow{}  bag(\mBbbZ{}  \mtimes{}  Cmd))
Date html generated:
2016_05_17-PM-02_06_27
Last ObjectModification:
2015_12_29-PM-08_07_56
Theory : 2!3!consensus!with!signatures
Home
Index