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Step * of Lemma transitive-set-iff2

∀s:Set{i:l}. (transitive-set(s) ⇐⇒ ∀x:Set{i:l}. ((x ∈ s) ⇒ (x ⊆ s)))
BY
{ (Intro THEN Unfold `transitive-set` 0 THEN RWO "allsetmem-iff" 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}s:Set\{i:l\}.  (transitive-set(s)  \mLeftarrow{}{}\mRightarrow{}  \mforall{}x:Set\{i:l\}.  ((x  \mmember{}  s)  {}\mRightarrow{}  (x  \msubseteq{}  s)))


By

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Latex:
(Intro  THEN  Unfold  `transitive-set`  0  THEN  RWO  "allsetmem-iff"  0  THEN  Auto)

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