Nuprl Lemma : parallel-class-com
∀[T,Info:Type]. ∀[X,Y:EClass(T)]. (X || Y = Y || X ∈ EClass(T))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
parallel-class: X || Y,
eclass: EClass(A[eo; e]),
eclass-compose2: eclass-compose2(f;X;Y),
subtype_rel: A ⊆r B
Latex:
\mforall{}[T,Info:Type]. \mforall{}[X,Y:EClass(T)]. (X || Y = Y || X)
Date html generated:
2016_05_16-PM-02_27_55
Last ObjectModification:
2015_12_29-AM-11_40_05
Theory : event-ordering
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