Nuprl Lemma : eclass-val_wf
∀[T:Type]. ∀[A:es:EO+(T) ─→ E ─→ Type]. ∀[X:EClass(A[es;e])]. ∀[eo:EO+(T)]. ∀[e:E]. X(e) ∈ A[eo;e] supposing ↑e ∈b X
Proof
Definitions occuring in Statement :
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
assert_wf,
in-eclass_wf,
dep-eclass_subtype_rel,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
subtype_top,
eclass_wf,
bag-only_wf2,
decidable__lt,
bag-size_wf,
nat_wf,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
equal-wf-T-base,
assert_of_eq_int,
eq_int_wf,
member_wf,
single-valued-bag-if-le1,
le_weakening
\mforall{}[T:Type]. \mforall{}[A:es:EO+(T) {}\mrightarrow{} E {}\mrightarrow{} Type]. \mforall{}[X:EClass(A[es;e])]. \mforall{}[eo:EO+(T)]. \mforall{}[e:E].
X(e) \mmember{} A[eo;e] supposing \muparrow{}e \mmember{}\msubb{} X
Date html generated:
2015_07_17-PM-00_40_29
Last ObjectModification:
2015_01_27-PM-11_15_50
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