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Step * of Lemma trans_imp_sp_trans

∀[T:Type]. ∀[R:T ⟶ T ⟶ ℙ].  (Trans(T;a,b.R[a;b]) ⇒ Trans(T;a,b.strict_part(x,y.R[x;y];a;b)))
BY
{ (Unfolds ``trans strict_part`` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[R:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    (Trans(T;a,b.R[a;b])  {}\mRightarrow{}  Trans(T;a,b.strict\_part(x,y.R[x;y];a;b)))


By

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Latex:
(Unfolds  ``trans  strict\_part``  0  THEN  Auto)

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