Nuprl Lemma : cp-kinds_wf
∀[cp:ClassProgram(Top)]. (cp-kinds(cp) ∈ i:{i:Id| (i ∈ cp-domain(cp))} ⟶ ({k:Knd| ↑hasloc(k;i)} List))
Proof
Definitions occuring in Statement :
cp-kinds: cp-kinds(cp),
cp-domain: cp-domain(cp),
class-program: ClassProgram(T),
hasloc: hasloc(k;i),
Knd: Knd,
Id: Id,
l_member: (x ∈ l),
list: T List,
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x]
Definitions unfolded in proof :
cp-kinds: cp-kinds(cp),
cp-domain: cp-domain(cp),
class-program: ClassProgram(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
prop: ℙ,
uimplies: b supposing a,
so_apply: x[s],
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
implies: P ⇒ Q,
fpf-domain: fpf-domain(f),
spreadn: spread6
Latex:
\mforall{}[cp:ClassProgram(Top)]. (cp-kinds(cp) \mmember{} i:\{i:Id| (i \mmember{} cp-domain(cp))\} {}\mrightarrow{} (\{k:Knd| \muparrow{}hasloc(k;i)\} L\000Cist))
Date html generated:
2016_05_16-PM-00_55_47
Last ObjectModification:
2015_12_29-PM-01_42_29
Theory : event-ordering
Home
Index