Nuprl Lemma : three-intersection_wf
∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. (three-intersection(A;W) ∈ ℙ)
Proof
Definitions occuring in Statement :
three-intersection: three-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]. (three-intersection(A;W) \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-11_28_47
Last ObjectModification:
2015_01_28-AM-01_35_31
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