Nuprl Lemma : disjoint-union-comb-es-sv
∀[Info,A,B:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(A)]. ∀[Y:EClass(B)].
(es-sv-class(es;X (+) Y)) supposing (disjoint-classrel(es;A;X;B;Y) and es-sv-class(es;Y) and es-sv-class(es;X))
Proof
Definitions occuring in Statement :
disjoint-union-comb: X (+) Y,
es-sv-class: es-sv-class(es;X),
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
disjoint-union-comb: X (+) Y,
member: t ∈ T,
all: ∀x:A. B[x],
prop: ℙ,
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
implies: P ⇒ Q
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(es-sv-class(es;X (+) Y)) supposing
(disjoint-classrel(es;A;X;B;Y) and
es-sv-class(es;Y) and
es-sv-class(es;X))
Date html generated:
2016_05_17-AM-09_34_25
Last ObjectModification:
2015_12_29-PM-03_58_55
Theory : classrel!lemmas
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