Nuprl Lemma : lifting-loc-gen_wf
∀[B:Type]. ∀[n:ℕ]. ∀[A:ℕn ⟶ Type]. ∀[f:Id ⟶ funtype(n;A;B)].
(lifting-loc-gen(n;f) ∈ Id ⟶ (k:ℕn ⟶ bag(A k)) ⟶ bag(B))
Proof
Definitions occuring in Statement :
lifting-loc-gen: lifting-loc-gen(n;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,
lifting-loc-gen: lifting-loc-gen(n;f),
nat: ℕ
Latex:
\mforall{}[B:Type]. \mforall{}[n:\mBbbN{}]. \mforall{}[A:\mBbbN{}n {}\mrightarrow{} Type]. \mforall{}[f:Id {}\mrightarrow{} funtype(n;A;B)].
(lifting-loc-gen(n;f) \mmember{} Id {}\mrightarrow{} (k:\mBbbN{}n {}\mrightarrow{} bag(A k)) {}\mrightarrow{} bag(B))
Date html generated:
2016_05_17-AM-09_14_50
Last ObjectModification:
2015_12_29-PM-04_09_53
Theory : classrel!lemmas
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