Nuprl Lemma : interface-pair-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. ∀[e:E]. (X,Y)(e) ~ <X(e), Y(e)> supposing ↑e ∈b (X,Y)
Proof
Definitions occuring in Statement :
es-interface-pair: (X,Y),
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],
top: Top,
pair: <a, b>,
universe: Type,
sqequal: s ~ t
Lemmas :
is-interface-pair,
in-eclass_wf,
bool_wf,
eqtt_to_assert,
bag_only_single_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
assert_elim,
bfalse_wf,
and_wf,
band_wf,
btrue_neq_bfalse,
assert_wf,
es-interface-pair_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
subtype_top,
eclass_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. \mforall{}[e:E]. (X,Y)(e) \msim{} <X(e), Y(e)> supposing \muparrow{}e \mmember{}\msubb{} \000C(X,Y)
Date html generated:
2015_07_21-PM-03_45_12
Last ObjectModification:
2015_01_27-PM-06_25_56
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