Nuprl Lemma : es-prior-interface-vals-nil
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[X:EClass(A)]. ∀[e:E]. uiff(X(<e) = [] ∈ (A List);¬↑e ∈b prior(X))
Proof
Definitions occuring in Statement :
es-prior-interface: prior(X),
es-prior-interface-vals: X(<e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
nil: [],
list: T List,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
not: ¬A,
universe: Type,
equal: s = t ∈ T
Lemmas :
equal-wf-T-base,
list_wf,
null_cons_lemma,
bfalse_wf,
append_is_nil,
es-prior-interface-vals_wf,
cons_wf,
eclass-val_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
es-E-interface-property,
es-interface-subtype_rel2,
top_wf,
eclass-val_wf2,
es-prior-interface_wf,
and_wf,
equal_wf,
null_wf3,
subtype_rel_list,
null_nil_lemma,
btrue_wf,
btrue_neq_bfalse,
es-prior-interface_wf0,
eclass_wf,
assert_functionality_wrt_uiff,
in-eclass_wf,
subtype_top,
squash_wf,
true_wf,
assert_wf,
es-prior-interface_wf1,
es-E-interface_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[e:E]. uiff(X(<e) = [];\mneg{}\muparrow{}e \mmember{}\msubb{} prior(X))
Date html generated:
2015_07_21-PM-03_16_53
Last ObjectModification:
2015_01_27-PM-07_26_33
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