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),
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),
set-sig-set: set-sig-set(s),
set-sig: set-sig{i:l}(Item)
Lemmas :
set-sig-member_wf,
bool_wf,
eqtt_to_assert,
empty-bag_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
single-bag_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\_when\_new\_proposal(Cmd;slots) \mmember{} Id {}\mrightarrow{} (\mBbbZ{} \mtimes{} Cmd) {}\mrightarrow{} set-sig-set(slots) {}\mrightarrow{} bag(\mBbbZ{} \mtimes{} Cmd))
Date html generated:
2015_07_23-PM-03_52_01
Last ObjectModification:
2015_01_29-AM-08_50_32
Home
Index