Step
*
of Lemma
bar-type-continuous
∀[X:ℕ ⟶ {T:Type| value-type(T)} ]. ((⋂n:ℕ. bar(X[n])) ⊆r bar(⋂n:ℕ. X[n]))
BY
{ (Unfold `bar` 0 THEN InstLemma `partial-type-continuous` [] THEN Trivial) }
Latex:
Latex:
\mforall{}[X:\mBbbN{}  {}\mrightarrow{}  \{T:Type|  value-type(T)\}  ].  ((\mcap{}n:\mBbbN{}.  bar(X[n]))  \msubseteq{}r  bar(\mcap{}n:\mBbbN{}.  X[n]))
By
Latex:
(Unfold  `bar`  0  THEN  InstLemma  `partial-type-continuous`  []  THEN  Trivial)
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