Nuprl Lemma : skip-first-class-property-iff
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[X:EClass(A)]. ∀[a:A]. uiff(a ∈ Skip(X)(e);False)
Proof
Definitions occuring in Statement :
skip-first-class: Skip(X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
false: False,
universe: Type
Lemmas :
member-eo-forward-E,
es-le-self,
es-first_wf2,
eo-forward_wf,
event-ordering+_subtype,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
bag-member-empty-iff,
eqff_to_assert,
assert_of_bnot,
eo-forward-first2,
es-le_wf,
equal_wf,
classrel_wf,
skip-first-class_wf,
Id_wf,
es-loc_wf,
false_wf,
eclass_wf,
es-E_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[X:EClass(A)]. \mforall{}[a:A]. uiff(a \mmember{} Skip(X)(e);False)
Date html generated:
2015_07_20-PM-04_04_50
Last ObjectModification:
2015_01_27-PM-09_52_39
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