Nuprl Lemma : is-interface-at
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[i:Id]. ∀[e:E]. uiff(↑e ∈b X@i;(loc(e) = i ∈ Id) ∧ (↑e ∈b X))
Proof
Definitions occuring in Statement :
es-interface-at: X@i,
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
top: Top,
and: P ∧ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
eq_id_wf,
es-loc_wf,
bool_wf,
eqtt_to_assert,
assert-eq-id,
assert_witness,
eq_int_wf,
bag-size_wf,
top_wf,
nat_wf,
assert_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
false_wf,
in-eclass_wf,
es-interface-at_wf,
Id_wf,
event-ordering+_subtype,
es-E_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[i:Id]. \mforall{}[e:E].
uiff(\muparrow{}e \mmember{}\msubb{} X@i;(loc(e) = i) \mwedge{} (\muparrow{}e \mmember{}\msubb{} X))
Date html generated:
2015_07_20-PM-03_35_35
Last ObjectModification:
2015_01_27-PM-10_14_36
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