Nuprl Lemma : disjoint-classrel_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[es:EO+(Info)]. (disjoint-classrel(es;A;X;B;Y) ∈ ℙ)
Proof
Definitions occuring in Statement :
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
prop: ℙ,
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(disjoint-classrel(es;A;X;B;Y) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-01_40_35
Last ObjectModification:
2015_12_29-PM-02_08_53
Theory : event-ordering
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