Nuprl Lemma : parallel-eclass2-right
∀[Info,B,C:Type]. ∀[X:EClass(B ─→ bag(C))]. ∀[X1,X2:EClass(B)]. ((X o X1) || (X o X2) = (X o X1 || X2) ∈ EClass(C))
Proof
Definitions occuring in Statement :
parallel-class: X || Y,
eclass2: (X o Y),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Lemmas :
bag_wf,
bag-combine-append-right,
bag-combine_wf,
class-ap_wf,
bag-append_wf,
iff_weakening_equal,
bag-combine-append-left,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B {}\mrightarrow{} bag(C))]. \mforall{}[X1,X2:EClass(B)].
((X o X1) || (X o X2) = (X o X1 || X2))
Date html generated:
2015_07_17-PM-00_45_37
Last ObjectModification:
2015_02_04-PM-05_31_35
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