Nuprl Lemma : sv-class_wf
∀[Info:Type]. ∀[A:es:EO+(Info) ⟶ E ⟶ Type]. ∀[X:EClass(A[es;e])]. (Singlevalued(X) ∈ ℙ')
Proof
Definitions occuring in Statement :
sv-class: Singlevalued(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
sv-class: Singlevalued(X),
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2],
so_apply: x[s],
prop: ℙ
Latex:
\mforall{}[Info:Type]. \mforall{}[A:es:EO+(Info) {}\mrightarrow{} E {}\mrightarrow{} Type]. \mforall{}[X:EClass(A[es;e])]. (Singlevalued(X) \mmember{} \mBbbP{}')
Date html generated:
2016_05_16-PM-02_19_54
Last ObjectModification:
2015_12_29-AM-11_44_08
Theory : event-ordering
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