Step
*
of Lemma
anti_sym_functionality_wrt_iff
∀[T:Type]. ∀[R,R':T ⟶ T ⟶ ℙ].
  uiff(AntiSym(T;x,y.R[x;y]);AntiSym(T;x,y.R'[x;y])) supposing ∀x,y:T.  (R[x;y] 
⇐⇒ R'[x;y])
BY
{ (((Unfold `anti_sym` 0 THENM RepD) THENM RWW "-1" 0) THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[R,R':T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].
    uiff(AntiSym(T;x,y.R[x;y]);AntiSym(T;x,y.R'[x;y]))  supposing  \mforall{}x,y:T.    (R[x;y]  \mLeftarrow{}{}\mRightarrow{}  R'[x;y])
By
Latex:
(((Unfold  `anti\_sym`  0  THENM  RepD)  THENM  RWW  "-1"  0)  THEN  Auto)
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