Nuprl Lemma : parallel-eclass2-left
∀[Info,B,C:Type]. ∀[X1,X2:EClass(B ─→ bag(C))]. ∀[X:EClass(B)]. ((X1 o X) || (X2 o X) = (X1 || X2 o X) ∈ 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 :
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf,
bag_wf,
bag-append_wf,
bag-combine_wf,
class-ap_wf,
bag-combine-append-left,
iff_weakening_equal
\mforall{}[Info,B,C:Type]. \mforall{}[X1,X2:EClass(B {}\mrightarrow{} bag(C))]. \mforall{}[X:EClass(B)].
((X1 o X) || (X2 o X) = (X1 || X2 o X))
Date html generated:
2015_07_17-PM-00_45_29
Last ObjectModification:
2015_02_04-PM-05_31_27
Home
Index