Nuprl Lemma : simple-comb-4_wf
∀[Info,A,B,C,D,E:Type].
∀F:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D) ─→ bag(E)
∀[W:EClass(A)]. ∀[X:EClass(B)]. ∀[Y:EClass(C)]. ∀[Z:EClass(D)]. (simple-comb-4(F;W;X;Y;Z) ∈ EClass(E))
Proof
Definitions occuring in Statement :
simple-comb-4: simple-comb-4(F;W;X;Y;Z),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
simple-comb_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,
lelt_wf,
bag_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B,C,D,E:Type].
\mforall{}F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D) {}\mrightarrow{} bag(E)
\mforall{}[W:EClass(A)]. \mforall{}[X:EClass(B)]. \mforall{}[Y:EClass(C)]. \mforall{}[Z:EClass(D)].
(simple-comb-4(F;W;X;Y;Z) \mmember{} EClass(E))
Date html generated:
2015_07_21-PM-03_02_16
Last ObjectModification:
2015_01_29-PM-08_20_31
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