Nuprl Lemma : rec-combined-class-opt-3_wf
∀[Info,A,B,C,D:Type]. ∀[F:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D) ─→ bag(D)]. ∀[init:Id ─→ bag(D)]. ∀[X:EClass(A)].
∀[Y:EClass(B)]. ∀[Z:EClass(C)].
(rec-combined-class-opt-3(F;init;X;Y;Z) ∈ EClass(D))
Proof
Definitions occuring in Statement :
rec-combined-class-opt-3: rec-combined-class-opt-3(F;init;X;Y;Z),
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
rec-comb_wf,
select_wf,
cons_wf,
nil_wf,
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,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
false_wf,
lelt_wf,
bag_wf,
sq_stable__le,
eclass_wf,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,A,B,C,D:Type]. \mforall{}[F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D) {}\mrightarrow{} bag(D)]. \mforall{}[init:Id {}\mrightarrow{} bag(D)].
\mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)].
(rec-combined-class-opt-3(F;init;X;Y;Z) \mmember{} EClass(D))
Date html generated:
2015_07_21-PM-02_56_20
Last ObjectModification:
2015_01_27-PM-07_29_16
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