Nuprl Lemma : lifting2-loc-lifting2-like
∀[A,B,C:Type]. ∀[f:Id ⟶ A ⟶ B ⟶ C]. ∀[i:Id].  lifting2-like(A;B;λas,bs. lifting2-loc(f;i;as;bs))
Proof
Definitions occuring in Statement : 
lifting2-like: lifting2-like(A;B;f)
, 
lifting2-loc: lifting2-loc(f;loc;abag;bbag)
, 
Id: Id
, 
uall: ∀[x:A]. B[x]
, 
lambda: λx.A[x]
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
lifting2-loc: lifting2-loc(f;loc;abag;bbag)
, 
lifting2-like: lifting2-like(A;B;f)
, 
lifting-loc-gen-rev: lifting-loc-gen-rev(n;bags;loc;f)
, 
bag-null: bag-null(bs)
, 
null: null(as)
, 
lifting-gen-rev: lifting-gen-rev(n;f;bags)
, 
lifting-gen-list-rev: lifting-gen-list-rev(n;bags)
, 
ifthenelse: if b then t else f fi 
, 
eq_int: (i =z j)
, 
bfalse: ff
, 
bag-combine: ⋃x∈bs.f[x]
, 
bag-union: bag-union(bbs)
, 
concat: concat(ll)
, 
reduce: reduce(f;k;as)
, 
list_ind: list_ind, 
bag-map: bag-map(f;bs)
, 
map: map(f;as)
, 
select: L[n]
, 
cons: [a / b]
, 
empty-bag: {}
, 
nil: []
, 
it: ⋅
, 
btrue: tt
, 
assert: ↑b
, 
subtract: n - m
, 
single-bag: {x}
, 
append: as @ bs
, 
all: ∀x:A. B[x]
, 
so_lambda: λ2x.t[x]
, 
member: t ∈ T
, 
top: Top
, 
so_apply: x[s]
, 
and: P ∧ Q
, 
cand: A c∧ B
, 
implies: P 
⇒ Q
, 
iff: P 
⇐⇒ Q
, 
false: False
, 
prop: ℙ
, 
uall: ∀[x:A]. B[x]
, 
rev_implies: P 
⇐ Q
, 
true: True
, 
uiff: uiff(P;Q)
, 
uimplies: b supposing a
, 
guard: {T}
Latex:
\mforall{}[A,B,C:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  C].  \mforall{}[i:Id].    lifting2-like(A;B;\mlambda{}as,bs.  lifting2-loc(f;i;as;bs))
Date html generated:
2016_05_17-AM-11_12_22
Last ObjectModification:
2015_12_29-PM-05_14_27
Theory : process-model
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