Nuprl Lemma : on-loc-class-program_wf
∀[Info,B:Type]. ∀[X:Id ⟶ EClass(B)]. ∀[pr:∀i:Id. LocalClass(X i)].
  on-loc-class-program(pr) ∈ LocalClass(on-loc-class(X)) supposing valueall-type(B)
Proof
Definitions occuring in Statement : 
on-loc-class-program: on-loc-class-program(pr)
, 
on-loc-class: on-loc-class(X)
, 
local-class: LocalClass(X)
, 
eclass: EClass(A[eo; e])
, 
Id: Id
, 
valueall-type: valueall-type(T)
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
apply: f a
, 
function: x:A ⟶ B[x]
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
on-loc-class-program: on-loc-class-program(pr)
, 
local-class: LocalClass(X)
, 
sq_exists: ∃x:{A| B[x]}
, 
all: ∀x:A. B[x]
, 
subtype_rel: A ⊆r B
, 
prop: ℙ
, 
squash: ↓T
, 
so_lambda: λ2x.t[x]
, 
implies: P 
⇒ Q
, 
so_apply: x[s]
, 
guard: {T}
, 
iff: P 
⇐⇒ Q
, 
and: P ∧ Q
, 
rev_implies: P 
⇐ Q
, 
class-ap: X(e)
, 
on-loc-class: on-loc-class(X)
, 
eclass: EClass(A[eo; e])
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B:Type].  \mforall{}[X:Id  {}\mrightarrow{}  EClass(B)].  \mforall{}[pr:\mforall{}i:Id.  LocalClass(X  i)].
    on-loc-class-program(pr)  \mmember{}  LocalClass(on-loc-class(X))  supposing  valueall-type(B)
Date html generated:
2016_05_17-AM-09_09_10
Last ObjectModification:
2016_01_17-PM-09_12_16
Theory : local!classes
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