Step
*
of Lemma
rel_rev_implies_weakening
∀[T:Type]. ∀[R1,R2:T ⟶ T ⟶ ℙ].  (R1 
⇐⇒ R2 
⇒ R1 
⇐ R2)
BY
{ (RepUR ``rel_equivalent rel_rev_implies rel_implies`` 0 THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[R1,R2:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    (R1  \mLeftarrow{}{}\mRightarrow{}  R2  {}\mRightarrow{}  R1  \mLeftarrow{}{}  R2)
By
Latex:
(RepUR  ``rel\_equivalent  rel\_rev\_implies  rel\_implies``  0  THEN  Auto)
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