Nuprl Lemma : new_23_sig_update_replica_wf
∀[Cmd:ValueAllType]. ∀[slots:set-sig{i:l}(ℤ)].
(new_23_sig_update_replica(Cmd;slots) ∈ Id ─→ (ℤ × Cmd) ─→ set-sig-set(slots) ─→ set-sig-set(slots))
Proof
Definitions occuring in Statement :
new_23_sig_update_replica: new_23_sig_update_replica(Cmd;slots),
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
set-sig-set: set-sig-set(s),
set-sig: set-sig{i:l}(Item)
Lemmas :
set-sig-add_wf,
set-sig-set_wf,
Id_wf,
set-sig_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[Cmd:ValueAllType]. \mforall{}[slots:set-sig\{i:l\}(\mBbbZ{})].
(new\_23\_sig\_update\_replica(Cmd;slots) \mmember{} Id
{}\mrightarrow{} (\mBbbZ{} \mtimes{} Cmd)
{}\mrightarrow{} set-sig-set(slots)
{}\mrightarrow{} set-sig-set(slots))
Date html generated:
2015_07_23-PM-03_51_58
Last ObjectModification:
2015_01_29-AM-08_50_34
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