Nuprl Lemma : accum-matching-tagged-indices_wf
∀[pre:pi_prefix()]. ∀[st:a:Id fp-> pi_prefix() List].
(accum-matching-tagged-indices(pre;st) ∈ (Id × ((ℕ × Name) List)) List)
Proof
Definitions occuring in Statement :
accum-matching-tagged-indices: accum-matching-tagged-indices(pre;st),
pi_prefix: pi_prefix(),
fpf: a:A fp-> B[a],
Id: Id,
name: Name,
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x]
Lemmas :
pisend?_wf,
bool_wf,
eqtt_to_assert,
fpf-accum_wf,
list_wf,
nat_wf,
name_wf,
pi_prefix_wf,
nil_wf,
cons_wf,
select-tagged-indices_wf,
pisend-var_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
prefix-match_wf,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
assert_of_bnot,
subtype_rel_list,
fpf_wf,
Id_wf
Latex:
\mforall{}[pre:pi\_prefix()]. \mforall{}[st:a:Id fp-> pi\_prefix() List].
(accum-matching-tagged-indices(pre;st) \mmember{} (Id \mtimes{} ((\mBbbN{} \mtimes{} Name) List)) List)
Date html generated:
2015_07_23-AM-11_57_49
Last ObjectModification:
2015_01_29-AM-07_40_12
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