Nuprl Lemma : one-intersection_wf
∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. (one-intersection(A;W) ∈ ℙ)
Proof
Definitions occuring in Statement :
one-intersection: one-intersection(A;W),
Id: Id,
l_member: (x ∈ l),
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]}
Lemmas :
l_all_wf2,
l_member_wf,
exists_wf,
list_wf,
Id_wf
\mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. (one-intersection(A;W) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_28_28
Last ObjectModification:
2015_01_28-AM-01_35_36
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