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