Nuprl Lemma : concat-lifting-loc-3_wf
∀[A,B,C,D:Type]. ∀[f:Id ─→ A ─→ B ─→ C ─→ bag(D)].
(concat-lifting-loc-3(f) ∈ Id ─→ bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D))
Proof
Definitions occuring in Statement :
concat-lifting-loc-3: concat-lifting-loc-3(f),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
concat-lifting-loc_wf,
false_wf,
le_wf,
select_wf,
cons_wf,
nil_wf,
sq_stable__le,
length_wf,
length_nil,
non_neg_length,
length_wf_nil,
length_cons,
length_wf_nat,
int_seg_wf,
decidable__equal_int,
subtype_base_sq,
int_subtype_base,
subtype_rel-equal,
primrec-unroll,
primrec1_lemma,
bag_wf,
Id_wf
Latex:
\mforall{}[A,B,C,D:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} C {}\mrightarrow{} bag(D)].
(concat-lifting-loc-3(f) \mmember{} Id {}\mrightarrow{} bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D))
Date html generated:
2015_07_22-PM-00_08_16
Last ObjectModification:
2015_01_28-AM-11_43_17
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