Nuprl Lemma : disjoint-union-type_wf
∀[L:Type List]. (disjoint-union-type(L) ∈ Type)
Proof
Definitions occuring in Statement :
disjoint-union-type: disjoint-union-type(L),
list: T List,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
equal-wf-T-base,
nat_wf,
colength_wf_list,
list_wf,
list-cases,
list_ind_nil_lemma,
unit_wf2,
product_subtype_list,
spread_cons_lemma,
sq_stable__le,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-associates,
add-zero,
zero-add,
le-add-cancel,
decidable__le,
false_wf,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
add-commutes,
le_wf,
subtract_wf,
not-ge-2,
less-iff-le,
minus-minus,
add-swap,
subtype_base_sq,
set_subtype_base,
int_subtype_base,
list_ind_cons_lemma,
null_wf3,
subtype_rel_list,
top_wf,
bool_wf,
eqtt_to_assert,
assert_of_null,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot
Latex:
\mforall{}[L:Type List]. (disjoint-union-type(L) \mmember{} Type)
Date html generated:
2015_07_22-PM-00_14_33
Last ObjectModification:
2015_01_28-AM-10_45_52
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