Nuprl Lemma : simple-comb-3_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)]. (F|X, Y, Y| ∈ EClass(D))
Proof
Definitions occuring in Statement :
simple-comb-3: F|X, Y, Y|,
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: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)]. (F|X, Y, Y| \mmember{} EClass(D))
Date html generated:
2015_07_21-PM-03_01_33
Last ObjectModification:
2015_01_29-PM-08_20_02
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