Nuprl Lemma : prior-vals-non-null
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E(X)]. (¬↑null(X(≤e)))
Proof
Definitions occuring in Statement :
es-interface-prior-vals: X(≤e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
null: null(as),
assert: ↑b,
uall: ∀[x:A]. B[x],
top: Top,
not: ¬A,
universe: Type
Lemmas :
assert_wf,
null_wf3,
es-interface-prior-vals_wf,
top_wf,
es-E-interface_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
in-eclass_wf,
bool_wf,
list_ind_cons_lemma,
list_ind_nil_lemma,
null_cons_lemma,
equal-wf-T-base,
bnot_wf,
not_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
false_wf,
assert_elim,
subtype_base_sq,
bool_subtype_base
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E(X)]. (\mneg{}\muparrow{}null(X(\mleq{}e)))
Date html generated:
2015_07_20-PM-03_44_25
Last ObjectModification:
2015_01_27-PM-10_05_40
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