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Step * of Lemma sym_functionality_wrt_iff

∀[T:Type]. ∀[R,R':T ⟶ T ⟶ ℙ].  ((∀x,y:T.  (R[x;y] ⇐⇒ R'[x;y])) ⇒ (Sym(T;x,y.R[x;y]) ⇐⇒ Sym(T;x,y.R'[x;y])))
BY
{ (Unfold `sym` 0 THEN EAuto 1) }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[R,R':T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].
    ((\mforall{}x,y:T.    (R[x;y]  \mLeftarrow{}{}\mRightarrow{}  R'[x;y]))  {}\mRightarrow{}  (Sym(T;x,y.R[x;y])  \mLeftarrow{}{}\mRightarrow{}  Sym(T;x,y.R'[x;y])))


By

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Latex:
(Unfold  `sym`  0  THEN  EAuto  1)

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