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Step * of Lemma subtype_partial_sqtype_base

∀T:Type. ((T ⊆r Base) ⇒ (partial(T) ⊆r Base))
BY
{ (RepeatFor 2 ((D 0 THENA Auto))
   THEN (Assert partial(T) ⊆r partial(Base) BY
               (BLemma `subtype_rel_partial` THEN Auto))
   THEN InstLemma `partial-base` []
   THEN FLemma `subtype_rel_transitivity` [(-1);(-2)]
   THEN Auto) }

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Latex:

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Latex:
\mforall{}T:Type.  ((T  \msubseteq{}r  Base)  {}\mRightarrow{}  (partial(T)  \msubseteq{}r  Base))


By

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Latex:
(RepeatFor  2  ((D  0  THENA  Auto))
  THEN  (Assert  partial(T)  \msubseteq{}r  partial(Base)  BY
                          (BLemma  `subtype\_rel\_partial`  THEN  Auto))
  THEN  InstLemma  `partial-base`  []
  THEN  FLemma  `subtype\_rel\_transitivity`  [(-1);(-2)]
  THEN  Auto)

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