Nuprl Lemma : outl-or-class
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. (outl-class(or-class(X;Y)) = X ∈ EClass(A))
Proof
Definitions occuring in Statement :
or-class: or-class(X;Y),
outl-class: outl-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),
outl-class: outl-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),
pi1: fst(t)
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. (outl-class(or-class(X;Y)) = X)
Date html generated:
2016_05_16-PM-10_39_13
Last ObjectModification:
2015_12_29-AM-10_55_36
Theory : event-ordering
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