Nuprl Lemma : pi-rep-trans_wf
∀[l_loc:Id]. ∀[P:pi_term()]. ∀[g:{Q:pi_term()| pi-rank(Q) < pi-rank(pirep(P))}
─→ Id
─→ Name
─→ (Name List)
─→ pi-process()].
(pi-rep-trans(l_loc;P;g) ∈ Id ─→ Name ─→ (Name List) ─→ pi-process())
Proof
Definitions occuring in Statement :
pi-rep-trans: pi-rep-trans(l_loc;P;g),
pi-process: pi-process(),
pi-rank: pi-rank(p),
pirep: pirep(body),
pi_term: pi_term(),
Id: Id,
name: Name,
list: T List,
less_than: a < b,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x]
Lemmas :
pi_term_wf,
less_than_wf,
pi-rank_wf,
pirep_wf,
nat_wf,
Id_wf,
name_wf,
list_wf,
pi-process_wf,
rec-process_wf_pi_simple_state,
int_seg_wf,
false_wf,
lelt_wf,
piM_wf,
subtype_rel_wf,
eq_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
pDVfire?_wf,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
make-lg_wf_dag,
Com_wf,
cons_wf,
mk-tagged_wf_pCom_msg,
PiDataVal_wf,
Process_wf,
subtype_rel_transitivity,
pDVloc_wf,
subtype_rel_self,
pi_prefix_wf,
unit_wf2,
nil_wf,
eqff_to_assert,
assert-bnot,
iff_transitivity,
assert_wf,
equal-wf-T-base,
iff_weakening_uiff,
assert_of_band,
pDVloc_tag?_wf,
let_wf,
ldag_wf,
lg-add_wf_dag,
mk-tagged_wf_pCom_create,
pDVfire_wf,
lg-size_wf,
tag-case_wf,
make-lg_wf,
mk-tagged_wf_unequal,
not_wf,
equal-wf-base,
eq_atom_wf,
bnot_wf,
assert_of_eq_atom,
assert_of_bnot,
mk-tagged_wf,
pDVloc_tag-name_wf,
pDVloc_tag-id_wf,
squash_wf,
true_wf,
rank-rep,
iff_weakening_equal,
map_cons_lemma,
map_nil_lemma,
length_of_cons_lemma,
length_of_nil_lemma
Latex:
\mforall{}[l$_{loc}$:Id]. \mforall{}[P:pi\_term()]. \mforall{}[g:\{Q:pi\_term()| pi-rank(Q) < pi-rank(pirep(P)\000C)\}
{}\mrightarrow{} Id
{}\mrightarrow{} Name
{}\mrightarrow{} (Name List)
{}\mrightarrow{} pi-process()].
(pi-rep-trans(l$_{loc}$;P;g) \mmember{} Id {}\mrightarrow{} Name {}\mrightarrow{} (Name List) {}\mrightarrow{} pi-process())
Date html generated:
2015_07_23-AM-11_59_10
Last ObjectModification:
2015_02_04-PM-03_41_28
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