Nuprl Lemma : member-interface-part
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[g:∩es:EO+(Info). (E(X) ─→ Id)]. ∀[es:EO+(Info)]. ∀[e:E(X)]. (e ∈ E((X|g=g e)))
Proof
Definitions occuring in Statement :
es-interface-part: (X|g=i),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
apply: f a,
isect: ∩x:A. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
is-interface-part,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
top_wf,
Id_wf,
eclass_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[g:\mcap{}es:EO+(Info). (E(X) {}\mrightarrow{} Id)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E(X)].
(e \mmember{} E((X|g=g e)))
Date html generated:
2015_07_21-PM-04_20_34
Last ObjectModification:
2015_01_27-PM-05_16_28
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