Nuprl Lemma : null-class-property
∀[Info,T:Type]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:T]. uiff(v ∈ Null(e);False)
Proof
Definitions occuring in Statement :
null-class: Null,
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
false: False,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
false: False,
null-class: Null,
classrel: v ∈ X(e),
prop: ℙ,
bag-member: x ↓∈ bs,
squash: ↓T,
subtype_rel: A ⊆r B
Latex:
\mforall{}[Info,T:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. \mforall{}[v:T]. uiff(v \mmember{} Null(e);False)
Date html generated:
2016_05_17-AM-00_23_30
Last ObjectModification:
2016_01_17-PM-06_44_33
Theory : event-ordering
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