Nuprl Lemma : simple-comb_wf
∀[Info,B:Type]. ∀[n:ℕ]. ∀[A:ℕn ─→ Type]. ∀[Xs:k:ℕn ─→ EClass(A k)]. ∀[F:(k:ℕn ─→ bag(A k)) ─→ bag(B)].
(simple-comb(F;Xs) ∈ EClass(B))
Proof
Definitions occuring in Statement :
simple-comb: simple-comb(F;Xs),
eclass: EClass(A[eo; e]),
int_seg: {i..j-},
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
apply: f a,
function: x:A ─→ B[x],
natural_number: $n,
universe: Type,
bag: bag(T)
Lemmas :
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
int_seg_wf,
bag_wf,
nat_wf
\mforall{}[Info,B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[Xs:k:\mBbbN{}n {}\mrightarrow{} EClass(A k)].
\mforall{}[F:(k:\mBbbN{}n {}\mrightarrow{} bag(A k)) {}\mrightarrow{} bag(B)].
(simple-comb(F;Xs) \mmember{} EClass(B))
Date html generated:
2015_07_17-PM-00_39_38
Last ObjectModification:
2015_01_27-PM-11_12_50
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