Nuprl Lemma : two-intersection_wf
∀[A:Id List]. ∀[W:{a:Id| (a ∈ A)} List List]. (two-intersection(A;W) ∈ ℙ)
Proof
Definitions occuring in Statement :
two-intersection: two-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]}
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
two-intersection: two-intersection(A;W),
prop: ℙ,
so_lambda: λ2x.t[x],
all: ∀x:A. B[x],
and: P ∧ Q,
so_apply: x[s]
Latex:
\mforall{}[A:Id List]. \mforall{}[W:\{a:Id| (a \mmember{} A)\} List List]. (two-intersection(A;W) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-00_00_50
Last ObjectModification:
2015_12_29-PM-01_21_36
Theory : event-ordering
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