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Step * 1 of Lemma dep-isect-wf


1. A : Type@i'
2. B : A ⟶ Type@i'
⊢ x:A ⋂ B[x] = x:A ⋂ B[x] ∈ Type
BY
{ (Refine_dependentIntersectionEquality `x' THEN Auto) }

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Latex:

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Latex:

1.  A  :  Type@i'
2.  B  :  A  {}\mrightarrow{}  Type@i'
\mvdash{}  x:A  \mcap{}  B[x]  =  x:A  \mcap{}  B[x]


By

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Latex:
(Refine\_dependentIntersectionEquality  `x'  THEN  Auto)

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