Nuprl Lemma : bag-member-classfun-res
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(T)]. ∀[e:E].
(X@e ↓∈ X es e) supposing (single-valued-classrel(es;X;T) and (↑e ∈b X))
Proof
Definitions occuring in Statement :
classfun-res: X@e,
single-valued-classrel: single-valued-classrel(es;X;T),
member-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],
apply: f a,
universe: Type,
bag-member: x ↓∈ bs
Lemmas :
bag_wf,
bag-member-sv-bag-only,
member-eclass-iff-size,
less_than_wf,
bag-size_wf,
nat_wf,
all_wf,
bag-member_wf,
single-valued-classrel_wf,
assert_wf,
member-eclass_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(T)]. \mforall{}[e:E].
(X@e \mdownarrow{}\mmember{} X es e) supposing (single-valued-classrel(es;X;T) and (\muparrow{}e \mmember{}\msubb{} X))
Date html generated:
2015_07_17-PM-00_21_40
Last ObjectModification:
2015_01_27-PM-11_39_49
Home
Index