Nuprl Lemma : es-interface-count-as-accum
∀[Info:Type]. ∀[X:EClass(Top)]. (#X = es-interface-accum(λn,x. (n + 1);0;X) ∈ EClass(ℕ))
Proof
Definitions occuring in Statement :
es-interface-accum: es-interface-accum(f;x;X),
es-interface-count: #X,
eclass: EClass(A[eo; e]),
nat: ℕ,
uall: ∀[x:A]. B[x],
top: Top,
lambda: λx.A[x],
add: n + m,
natural_number: $n,
universe: Type,
equal: s = t ∈ T
Lemmas :
es-interface-extensionality,
nat_wf,
es-interface-count_wf,
es-interface-accum_wf,
top_wf,
false_wf,
le_wf,
decidable__le,
not-le-2,
sq_stable__le,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
in-eclass_wf,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
es-E_wf,
event-ordering+_subtype,
is-interface-accum,
is-interface-count,
assert_wf,
es-interface-subtype_rel2,
subtype_top,
eclass_wf,
event-ordering+_wf,
es-interface-count-val,
es-interface-accum-val,
es-interface-predecessors_wf,
subtype_rel_list,
es-E-interface_wf,
Id_wf,
es-loc_wf,
list_wf,
list_induction,
all_wf,
list_accum_wf,
length_wf,
list_accum_nil_lemma,
length_of_nil_lemma,
list_accum_cons_lemma,
length_of_cons_lemma,
iff_weakening_equal,
zero-le-nat,
length_wf_nat
Latex:
\mforall{}[Info:Type]. \mforall{}[X:EClass(Top)]. (\#X = es-interface-accum(\mlambda{}n,x. (n + 1);0;X))
Date html generated:
2015_07_21-PM-03_50_19
Last ObjectModification:
2015_02_04-PM-06_10_34
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