Nuprl Lemma : pi-trans_wf
∀[l_loc:Id]. ∀[P:pi_term()]. (pi-trans(l_loc;P) ∈ Id ─→ Name ─→ (Name List) ─→ pi-process())
Proof
Definitions occuring in Statement :
pi-trans: pi-trans(l_loc;P),
pi-process: pi-process(),
pi_term: pi_term(),
Id: Id,
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x]
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
pi-rank_wf,
nat_wf,
pi_term_wf,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
pi_term-ext,
eq_atom_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_atom,
subtype_base_sq,
atom_subtype_base,
unit_wf2,
unit_subtype_base,
it_wf,
pi-null-trans_wf,
list_wf,
name_wf,
Id_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
pi-guarded-trans_wf,
pi-choices_wf,
picomm_wf,
l_exists_wf,
pi_prefix_wf,
l_member_wf,
le_wf,
pioption_wf,
pi-bar-trans_wf,
pipar_wf,
decidable__lt,
le-add-cancel2,
pi-rep-trans_wf,
pirep_wf,
pi-new-trans_wf,
pinew_wf,
l_exists_iff,
rank-pi-choices
Latex:
\mforall{}[l$_{loc}$:Id]. \mforall{}[P:pi\_term()]. (pi-trans(l$_{loc}$;P) \mmember{} I\000Cd {}\mrightarrow{} Name {}\mrightarrow{} (Name List) {}\mrightarrow{} pi-process())
Date html generated:
2015_07_23-AM-11_59_32
Last ObjectModification:
2015_01_29-AM-07_49_14
Home
Index