Nuprl Lemma : C_TYPE_subtype_base
C_TYPE() ⊆r Base
Proof
Definitions occuring in Statement :
C_TYPE: C_TYPE(),
subtype_rel: A ⊆r B,
base: Base
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
le_wf,
C_TYPE_size_wf,
C_TYPE_wf,
int_seg_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,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
C_TYPE-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,
stuck-spread,
base_wf,
equal-wf-base,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
sum-nat,
length_wf_nat,
select_wf,
sq_stable__le,
length_wf,
decidable__lt,
sum_wf,
nat_wf,
sum-nat-less,
subtract-is-less,
lelt_wf,
not-le-2,
member_wf,
set_subtype_base,
int_subtype_base,
not-equal-2,
le-add-cancel-alt,
add-mul-special,
zero-mul,
all_wf,
squash_wf,
true_wf,
list_wf,
tunion_subtype_base,
subtype_rel-equal,
zero-le-nat,
subtype_rel_weakening,
ext-eq_weakening,
top_wf,
equal-wf-T-base,
colength_wf_list,
list-cases,
length_of_nil_lemma,
product_subtype_list,
spread_cons_lemma,
le_antisymmetry_iff,
length_of_cons_lemma,
non_neg_length,
reduce_tl_nil_lemma,
reduce_tl_cons_lemma,
product_subtype_base,
subtype_rel_self,
and_wf,
tl_wf,
le_int_wf,
assert_wf,
bnot_wf,
not_wf,
select-cons,
bool_cases,
assert_of_le_int,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot,
trivial-int-eq1,
subtype_rel_list,
equal_functionality_wrt_subtype_rel2,
pi1_wf_top,
subtype_rel_product,
subtype_top,
pair-eta,
iff_weakening_equal
C\_TYPE() \msubseteq{}r Base
Date html generated:
2015_07_17-AM-07_42_43
Last ObjectModification:
2015_02_03-PM-09_40_01
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