Nuprl Lemma : parameter-class-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[T:Type]. ∀[p:Id ⟶ T]. ∀[e:E].
Parameter(p;X)(e) = (p loc(e)) ∈ T supposing ↑e ∈b Parameter(p;X)
Proof
Definitions occuring in Statement :
es-parameter-class: Parameter(p;X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
member: t ∈ T,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
es-parameter-class: Parameter(p;X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
nat: ℕ,
ifthenelse: if b then t else f fi ,
top: Top,
eq_int: (i =z j),
assert: ↑b,
bfalse: ff,
exists: ∃x:A. B[x],
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
false: False
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[T:Type]. \mforall{}[p:Id {}\mrightarrow{} T]. \mforall{}[e:E].
Parameter(p;X)(e) = (p loc(e)) supposing \muparrow{}e \mmember{}\msubb{} Parameter(p;X)
Date html generated:
2016_05_16-PM-10_22_49
Last ObjectModification:
2015_12_29-AM-11_10_55
Theory : event-ordering
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