Nuprl Lemma : es-interface-or-getleft
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:EClass(Top)]. ∀[e:E]. oob-getleft((A | B)(e)) ~ A(e) supposing ↑e ∈b A
Proof
Definitions occuring in Statement :
es-interface-or: (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,
universe: Type,
sqequal: s ~ t,
oob-getleft: oob-getleft(x)
Lemmas :
eq_int_wf,
bag-size_wf,
top_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
bag_only_single_lemma,
one_or_both_ind_oobboth_lemma,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
one_or_both_oobleft_lemma,
false_wf,
assert_wf,
in-eclass_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:EClass(Top)]. \mforall{}[e:E].
oob-getleft((A | B)(e)) \msim{} A(e) supposing \muparrow{}e \mmember{}\msubb{} A
Date html generated:
2015_07_20-PM-03_26_29
Last ObjectModification:
2015_01_27-PM-10_19_39
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