Nuprl Lemma : process-ordered-message_wf_simple
∀[M:Type]. ∀[nL:ℤ × ((ℤ × M) List)]. ∀[km:ℤ × M]. (process-ordered-message(nL;km) ∈ (ℤ × M) List × ℤ × ((ℤ × M) List))
Proof
Definitions occuring in Statement :
process-ordered-message: process-ordered-message(nL;km),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
int: ℤ,
universe: Type
Lemmas :
value-type-has-value,
list-value-type,
Error :eval_list_wf,
Error :list_ind_wf,
cons_wf,
int-value-type,
int-minus-comparison-inc_wf,
top_wf,
comparison_wf,
eq_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
lt_int_wf,
assert_of_lt_int,
less_than_wf,
nil_wf,
null_wf3,
subtype_rel_list,
assert_of_null,
equal-wf-T-base,
hd_wf,
list-cases,
length_of_nil_lemma,
product_subtype_list,
length_of_cons_lemma,
length_wf_nat,
nat_wf,
decidable__le,
false_wf,
not-ge-2,
sq_stable__le,
condition-implies-le,
minus-add,
minus-one-mul,
add-swap,
add-associates,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel2,
split-maximal-consecutive_wf,
length_wf,
decidable__lt,
zero-add,
le-add-cancel,
assert_wf,
listp_wf,
append_wf,
pi1_wf_top,
last_wf,
subtype_rel_product,
listp_properties,
null_nil_lemma,
null_cons_lemma,
list_wf
Latex:
\mforall{}[M:Type]. \mforall{}[nL:\mBbbZ{} \mtimes{} ((\mBbbZ{} \mtimes{} M) List)]. \mforall{}[km:\mBbbZ{} \mtimes{} M].
(process-ordered-message(nL;km) \mmember{} (\mBbbZ{} \mtimes{} M) List \mtimes{} \mBbbZ{} \mtimes{} ((\mBbbZ{} \mtimes{} M) List))
Date html generated:
2015_07_23-PM-00_28_12
Last ObjectModification:
2015_01_29-AM-01_33_13
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