Nuprl Lemma : es-interface-or-hasleft
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:EClass(Top)]. ∀[e:E]. oob-hasleft((A | B)(e)) ~ e ∈b A supposing ↑e ∈b (A | B)
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-hasleft: oob-hasleft(x)
Lemmas :
eq_int_wf,
bag-size_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
bag_only_single_lemma,
subtype_base_sq,
bool_subtype_base,
btrue_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
bag_size_single_lemma,
assert-bnot,
neg_assert_of_eq_int,
assert_wf,
one_or_both_wf,
single-bag_wf,
oobboth_wf,
oobleft_wf,
bfalse_wf,
bag_size_empty_lemma,
in-eclass_wf,
es-interface-or_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{}[A,B:EClass(Top)]. \mforall{}[e:E].
oob-hasleft((A | B)(e)) \msim{} e \mmember{}\msubb{} A supposing \muparrow{}e \mmember{}\msubb{} (A | B)
Date html generated:
2015_07_20-PM-03_26_12
Last ObjectModification:
2015_01_27-PM-10_20_25
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