Nuprl Lemma : class-pred_wf
∀[Info:Type]. ∀[X:EClass(Top)]. ∀[es:EO+(Info)]. ∀[e:E]. (class-pred(X;es;e) ∈ E + Top)
Proof
Definitions occuring in Statement :
class-pred: class-pred(X;es;e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
class-pred: class-pred(X;es;e),
eclass: EClass(A[eo; e]),
subtype_rel: A ⊆r B,
or: P ∨ Q,
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
implies: P ⇒ Q,
so_apply: x[s],
all: ∀x:A. B[x],
sq_exists: ∃x:{A| B[x]},
uimplies: b supposing a,
top: Top,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}[X:EClass(Top)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. (class-pred(X;es;e) \mmember{} E + Top)
Date html generated:
2016_05_16-PM-11_19_06
Last ObjectModification:
2015_12_29-AM-10_27_53
Theory : event-ordering
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