Nuprl Lemma : outr-or-class
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].  (outr-class(or-class(X;Y)) = Y ∈ EClass(B))
Proof
Definitions occuring in Statement : 
or-class: or-class(X;Y)
, 
outr-class: outr-class(X)
, 
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
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
, 
uimplies: b supposing a
, 
all: ∀x:A. B[x]
, 
top: Top
, 
or-class: or-class(X;Y)
, 
outr-class: outr-class(X)
, 
inr-class: inr-class(X)
, 
inl-class: inl-class(X)
, 
parallel-class: X || Y
, 
eclass-compose1: f o X
, 
eclass-compose2: eclass-compose2(f;X;Y)
, 
eclass: EClass(A[eo; e])
, 
implies: P 
⇒ Q
, 
bag-mapfilter: bag-mapfilter(f;P;bs)
, 
bag-merge: bag-merge(as;bs)
, 
bag-separate: bag-separate(bs)
, 
pi2: snd(t)
Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[X:EClass(A)].  \mforall{}[Y:EClass(B)].    (outr-class(or-class(X;Y))  =  Y)
Date html generated:
2016_05_16-PM-10_39_27
Last ObjectModification:
2015_12_29-AM-10_54_43
Theory : event-ordering
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