Nuprl Lemma : es-class-def_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[X:EClass(B)]. ∀[R:E ─→ A ─→ ℙ]. ∀[F:e:E ─→ {a:A| R[e;a]} ─→ B].
(∀a,e such that R[e;a]
e∈X with value F[e;a] ∈ ℙ)
Proof
Definitions occuring in Statement :
es-class-def: es-class-def,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
iff_wf,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
exists_wf,
eclass-val_wf,
es-E-interface-property,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[X:EClass(B)]. \mforall{}[R:E {}\mrightarrow{} A {}\mrightarrow{} \mBbbP{}]. \mforall{}[F:e:E
{}\mrightarrow{} \{a:A| R[e;a]\}
{}\mrightarrow{} B].
(\mforall{}a,e such that R[e;a]
e\mmember{}X with value F[e;a] \mmember{} \mBbbP{})
Date html generated:
2015_07_21-PM-03_26_00
Last ObjectModification:
2015_01_27-PM-06_41_02
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