Nuprl Lemma : concat-lifting-loc_wf
∀[B:Type]. ∀[n:ℕ]. ∀[A:ℕn ⟶ Type]. ∀[bags:k:ℕn ⟶ bag(A k)]. ∀[loc:Id]. ∀[f:Id ⟶ funtype(n;A;bag(B))].
(concat-lifting-loc(n;bags;loc;f) ∈ bag(B))
Proof
Definitions occuring in Statement :
concat-lifting-loc: concat-lifting-loc(n;bags;loc;f),
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),
funtype: funtype(n;A;T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
concat-lifting-loc: concat-lifting-loc(n;bags;loc;f),
nat: ℕ
Latex:
\mforall{}[B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[bags:k:\mBbbN{}n {}\mrightarrow{} bag(A k)]. \mforall{}[loc:Id].
\mforall{}[f:Id {}\mrightarrow{} funtype(n;A;bag(B))].
(concat-lifting-loc(n;bags;loc;f) \mmember{} bag(B))
Date html generated:
2016_05_17-AM-09_15_25
Last ObjectModification:
2015_12_29-PM-04_09_34
Theory : classrel!lemmas
Home
Index