Nuprl Lemma : class-opt-opt
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[b:Id ⟶ bag(T)]. (X?b = X?b?b ∈ EClass(T))
Proof
Definitions occuring in Statement :
class-opt: X?b,
eclass: EClass(A[eo; e]),
Id: Id,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Definitions unfolded in proof :
class-opt: X?b,
eclass: EClass(A[eo; e]),
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
prop: ℙ,
not: ¬A,
implies: P ⇒ Q,
false: False,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[b:Id {}\mrightarrow{} bag(T)]. (X?b = X?b?b)
Date html generated:
2016_05_16-PM-11_48_50
Last ObjectModification:
2015_12_29-AM-10_06_37
Theory : event-ordering
Home
Index