Nuprl Lemma : simple-comb3_wf
∀[Info,A,B,C,D:Type].
∀F:bag(A) ─→ bag(B) ─→ bag(C) ─→ bag(D)
∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(C)]. (simple-comb3(x,y,z.F[x;y;z];X;Y;Z) ∈ EClass(D))
Proof
Definitions occuring in Statement :
simple-comb3: simple-comb3(x,y,z.F[x; y; z];X;Y;Z),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2;s3],
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
simple-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,
bag_wf,
false_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B,C,D:Type].
\mforall{}F:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C) {}\mrightarrow{} bag(D)
\mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(C)].
(simple-comb3(x,y,z.F[x;y;z];X;Y;Z) \mmember{} EClass(D))
Date html generated:
2015_07_21-PM-02_58_01
Last ObjectModification:
2015_01_27-PM-07_36_31
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