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
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