Nuprl Lemma : or-latest-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[e:E].
(X |- Y)(e) = ((X)- | (Y)-)(e) ∈ one_or_both(A;B) supposing (↑e ∈b (X |- Y)) ∧ Singlevalued(X) ∧ Singlevalued(Y)
Proof
Definitions occuring in Statement :
es-or-latest: (X |- Y),
es-latest-val: (X)-,
es-interface-or: (X | Y),
sv-class: Singlevalued(X),
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],
and: P ∧ Q,
universe: Type,
equal: s = t ∈ T,
one_or_both: one_or_both(A;B)
Lemmas :
is-or-latest,
assert_wf,
in-eclass_wf,
es-or-latest_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
subtype_top,
one_or_both_wf,
sv-class_wf,
eclass_wf,
event-ordering+_wf,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
bag_only_single_lemma,
oobboth_wf,
eclass-val_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag_size_empty_lemma,
primed-class_wf,
oobleft_wf,
squash_wf,
true_wf,
event-ordering+_cumulative2,
primed-class-prior-val,
es-prior-val_wf,
iff_weakening_equal,
not_assert_elim,
and_wf,
assert_elim,
btrue_neq_bfalse,
oobright_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[e:E].
(X |\msupminus{} Y)(e) = ((X)\msupminus{} | (Y)\msupminus{})(e) supposing (\muparrow{}e \mmember{}\msubb{} (X |\msupminus{} Y)) \mwedge{} Singlevalued(X) \mwedge{} Singlevalued(Y)
Date html generated:
2015_07_21-PM-04_21_56
Last ObjectModification:
2015_02_04-PM-06_07_50
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