Step
*
of Lemma
predicate_equivalent_implies
∀[T:Type]. ∀[P1,P2:T ⟶ Type].  (P1 
⇐⇒ P2 
⇐⇒ P1 
⇒ P2 ∧ P2 
⇒ P1)
BY
{ (Unfolds ``predicate_equivalent predicate_implies`` 0⋅ THEN Auto) }
Latex:
Latex:
\mforall{}[T:Type].  \mforall{}[P1,P2:T  {}\mrightarrow{}  Type].    (P1  \mLeftarrow{}{}\mRightarrow{}  P2  \mLeftarrow{}{}\mRightarrow{}  P1  {}\mRightarrow{}  P2  \mwedge{}  P2  {}\mRightarrow{}  P1)
By
Latex:
(Unfolds  ``predicate\_equivalent  predicate\_implies``  0\mcdot{}  THEN  Auto)
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