Nuprl Lemma : DVp_Struct-struct_wf
∀[v:C_DVALUEp()]. DVp_Struct-struct(v) ∈ {a:Atom| (a ∈ DVp_Struct-lbls(v))} ─→ C_DVALUEp() supposing ↑DVp_Struct?(v)
Proof
Definitions occuring in Statement :
DVp_Struct-struct: DVp_Struct-struct(v),
DVp_Struct-lbls: DVp_Struct-lbls(v),
DVp_Struct?: DVp_Struct?(v),
C_DVALUEp: C_DVALUEp(),
l_member: (x ∈ l),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
atom: Atom
Lemmas :
C_DVALUEp-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,
list_wf,
list_subtype_base,
assert_wf,
DVp_Struct?_wf,
C_DVALUEp_wf
\mforall{}[v:C\_DVALUEp()]. DVp\_Struct-struct(v) \mmember{} \{a:Atom| (a \mmember{} DVp\_Struct-lbls(v))\} {}\mrightarrow{} C\_DVALUEp() supposin\000Cg \muparrow{}DVp\_Struct?(v)
Date html generated:
2015_07_17-AM-07_44_54
Last ObjectModification:
2015_01_27-AM-09_45_54
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