Nuprl Lemma : accum-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[b:A ─→ B]. ∀[f:B ─→ A ─→ B]. (accum-class(b,a.f[b;a];a.b[a];X) ∈ EClass(B))
Proof
Definitions occuring in Statement :
accum-class: accum-class(a,x.f[a; x];x.base[x];X),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
bool_wf,
eqtt_to_assert,
single-bag_wf,
accum_list_wf,
es-E-interface_wf,
Id_wf,
es-loc_wf,
eclass-val_wf,
assert_elim,
subtype_base_sq,
bool_subtype_base,
es-interface-predecessors_wf,
es-interface-predecessors-nonempty,
assert_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
assert-bnot,
empty-bag_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[b:A {}\mrightarrow{} B]. \mforall{}[f:B {}\mrightarrow{} A {}\mrightarrow{} B].
(accum-class(b,a.f[b;a];a.b[a];X) \mmember{} EClass(B))
Date html generated:
2015_07_20-PM-03_48_23
Last ObjectModification:
2015_01_27-PM-10_09_34
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