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
Home
Index