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Step * of Lemma inductively-defined-unique

∀R:Set{i:l} ⟶ Set{i:l} ⟶ ℙ'. ∀s1,s2:Set{i:l}.
  (inductively-defined{i:l}(x,a.R[x;a];s1) ⇒ inductively-defined{i:l}(x,a.R[x;a];s2) ⇒ seteq(s1;s2))
BY
{ (Auto THEN RWO  "seteq-iff-setsubset" 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}R:Set\{i:l\}  {}\mrightarrow{}  Set\{i:l\}  {}\mrightarrow{}  \mBbbP{}'.  \mforall{}s1,s2:Set\{i:l\}.
    (inductively-defined\{i:l\}(x,a.R[x;a];s1)
    {}\mRightarrow{}  inductively-defined\{i:l\}(x,a.R[x;a];s2)
    {}\mRightarrow{}  seteq(s1;s2))


By

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Latex:
(Auto  THEN  RWO    "seteq-iff-setsubset"  0  THEN  Auto)

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