Nuprl Lemma : C_Array-elems_wf
∀[v:C_TYPE()]. C_Array-elems(v) ∈ C_TYPE() supposing ↑C_Array?(v)
Proof
Definitions occuring in Statement :
C_Array-elems: C_Array-elems(v)
,
C_Array?: C_Array?(v)
,
C_TYPE: C_TYPE()
,
assert: ↑b
,
uimplies: b supposing a
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
Lemmas :
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,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
assert_wf,
C_Array?_wf,
C_TYPE_wf
\mforall{}[v:C\_TYPE()]. C\_Array-elems(v) \mmember{} C\_TYPE() supposing \muparrow{}C\_Array?(v)
Date html generated:
2015_07_17-AM-07_42_21
Last ObjectModification:
2015_01_27-AM-09_47_04
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