Nuprl Lemma : prior-class-when-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. ∀[d:Top]. ∀[e:E].
(X'?d) when Y(e) ~ <Y(e), if e ∈b (X)' then (X)'(e) else d fi > supposing ↑e ∈b (X'?d) when Y
Proof
Definitions occuring in Statement :
es-prior-class-when: (X'?d) when Y,
es-prior-val: (X)',
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
ifthenelse: if b then t else f fi ,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
pair: <a, b>,
universe: Type,
sqequal: s ~ t
Lemmas :
in-eclass_wf,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
bag_only_single_lemma,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
false_wf,
assert_wf,
es-prior-class-when_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{}[d:Top]. \mforall{}[e:E].
(X'?d) when Y(e) \msim{} <Y(e), if e \mmember{}\msubb{} (X)' then (X)'(e) else d fi > supposing \muparrow{}e \mmember{}\msubb{} (X'?d) when Y
Date html generated:
2015_07_21-PM-03_49_00
Last ObjectModification:
2015_01_27-PM-06_02_25
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