Nuprl Lemma : add-nat-missing_wf
∀[i:ℕ]. ∀[s:nat-missing-type()]. (add-nat-missing(i;s) ∈ nat-missing-type())
Proof
Definitions occuring in Statement :
add-nat-missing: add-nat-missing(i;s),
nat-missing-type: nat-missing-type(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
lt_int_wf,
bool_wf,
eqtt_to_assert,
assert_of_lt_int,
subtype_rel_sets,
le_wf,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-associates,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel2,
list_wf,
nat_wf,
l-ordered_wf,
less_than_wf,
l_all_wf2,
l_member_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
eq_int_wf,
assert_of_eq_int,
neg_assert_of_eq_int,
nat-missing-type_wf,
append_wf,
from-upto_wf,
subtype_rel_list,
add-swap,
zero-add,
le-add-cancel,
l-ordered-append,
l-ordered-from-upto-lt-nat,
from-upto-member-nat,
l_all_iff,
decidable__lt,
less-iff-le,
l_all_append,
less_than_transitivity2,
le_weakening2,
set_wf,
remove-combine_wf,
subtract_wf,
l-ordered-remove-combine,
remove-combine-implies-member
\mforall{}[i:\mBbbN{}]. \mforall{}[s:nat-missing-type()]. (add-nat-missing(i;s) \mmember{} nat-missing-type())
Date html generated:
2015_07_17-AM-08_21_31
Last ObjectModification:
2015_04_02-PM-05_43_16
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