Nuprl Lemma : parallel-class-zero
∀[T,Info:Type]. ∀[X:EClass(T)]. (X || Empty = X ∈ EClass(T))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
es-empty-interface: Empty,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf,
bag-append-empty,
bag-subtype-list
\mforall{}[T,Info:Type]. \mforall{}[X:EClass(T)]. (X || Empty = X)
Date html generated:
2015_07_17-PM-00_44_56
Last ObjectModification:
2015_01_27-PM-11_08_33
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