Nuprl Lemma : simple-loc-comb_wf
∀[Info,B:Type]. ∀[n:ℕ]. ∀[A:ℕn ⟶ Type]. ∀[Xs:k:ℕn ⟶ EClass(A k)]. ∀[F:Id ⟶ (k:ℕn ⟶ bag(A k)) ⟶ bag(B)].
(F|Loc; Xs| ∈ EClass(B))
Proof
Definitions occuring in Statement :
simple-loc-comb: F|Loc; Xs|,
eclass: EClass(A[eo; e]),
Id: Id,
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)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
simple-loc-comb: F|Loc; Xs|,
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
nat: ℕ
Latex:
\mforall{}[Info,B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[Xs:k:\mBbbN{}n {}\mrightarrow{} EClass(A k)]. \mforall{}[F:Id
{}\mrightarrow{} (k:\mBbbN{}n {}\mrightarrow{} bag(A k))
{}\mrightarrow{} bag(B)].
(F|Loc; Xs| \mmember{} EClass(B))
Date html generated:
2016_05_16-PM-02_17_49
Last ObjectModification:
2015_12_29-AM-11_45_42
Theory : event-ordering
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