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