Nuprl Lemma : classfun-res-parallel-class-right
∀[Info,A:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(A)]. ∀[e:E].
  (X || Y@e ~ Y@e) supposing (disjoint-classrel(es;A;X;A;Y) and (↑e ∈b Y))
Proof
Definitions occuring in Statement : 
parallel-class: X || Y
, 
classfun-res: X@e
, 
disjoint-classrel: disjoint-classrel(es;A;X;B;Y)
, 
member-eclass: e ∈b X
, 
eclass: EClass(A[eo; e])
, 
event-ordering+: EO+(Info)
, 
es-E: E
, 
assert: ↑b
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
universe: Type
, 
sqequal: s ~ t
Definitions unfolded in proof : 
classfun-res: X@e
, 
parallel-class: X || Y
, 
classfun: X(e)
, 
eclass-compose2: eclass-compose2(f;X;Y)
, 
disjoint-classrel: disjoint-classrel(es;A;X;B;Y)
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
, 
or: P ∨ Q
, 
classrel: v ∈ X(e)
, 
uall: ∀[x:A]. B[x]
, 
eclass: EClass(A[eo; e])
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
uimplies: b supposing a
, 
implies: P 
⇒ Q
, 
iff: P 
⇐⇒ Q
, 
squash: ↓T
, 
false: False
, 
exists: ∃x:A. B[x]
, 
not: ¬A
, 
top: Top
, 
subtype_rel: A ⊆r B
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
, 
prop: ℙ
Latex:
\mforall{}[Info,A:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[X,Y:EClass(A)].  \mforall{}[e:E].
    (X  ||  Y@e  \msim{}  Y@e)  supposing  (disjoint-classrel(es;A;X;A;Y)  and  (\muparrow{}e  \mmember{}\msubb{}  Y))
Date html generated:
2016_05_17-AM-11_16_05
Last ObjectModification:
2015_12_29-PM-05_12_28
Theory : process-model
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