Nuprl Lemma : es-prior-interface-val
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀e:E.
(prior(X)(e) <loc e) ∧ (↑prior(X)(e) ∈b X) ∧ (∀e'':E. ((e'' <loc e) ⇒ (prior(X)(e) <loc e'') ⇒ (¬↑e'' ∈b X)))
supposing ↑e ∈b prior(X)
Proof
Definitions occuring in Statement :
es-prior-interface: prior(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
and: P ∧ Q,
universe: Type
Lemmas :
es-local-pred-property,
es-locl_wf,
in-eclass_wf,
es-local-pred_wf,
eq_int_wf,
bag-size_wf,
top_wf,
nat_wf,
or_wf,
sq_exists_wf,
assert_wf,
all_wf,
not_wf,
bag_size_single_lemma,
bag_only_single_lemma,
true_wf,
iff_wf,
exists_wf,
bag_size_empty_lemma,
false_wf,
equal_wf,
assert_witness,
eclass-val_wf2,
es-prior-interface_wf,
es-E-interface_wf,
event-ordering+_subtype,
es-E_wf,
es-prior-interface_wf0,
es-interface-subtype_rel2,
event-ordering+_wf,
subtype_top,
eclass_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E.
(prior(X)(e) <loc e)
\mwedge{} (\muparrow{}prior(X)(e) \mmember{}\msubb{} X)
\mwedge{} (\mforall{}e'':E. ((e'' <loc e) {}\mRightarrow{} (prior(X)(e) <loc e'') {}\mRightarrow{} (\mneg{}\muparrow{}e'' \mmember{}\msubb{} X)))
supposing \muparrow{}e \mmember{}\msubb{} prior(X)
Date html generated:
2015_07_21-PM-02_45_28
Last ObjectModification:
2015_01_27-PM-07_36_57
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