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Step * of Lemma implies_functionality_wrt_iff

∀[P1,P2,Q1,Q2:ℙ].  ({P1 ⇐⇒ P2} ⇒ {Q1 ⇐⇒ Q2} ⇒ {P1 ⇒ Q1 ⇐⇒ P2 ⇒ Q2})
BY
{ (Unfold `guard` 0 THEN Auto) }

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Latex:

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Latex:
\mforall{}[P1,P2,Q1,Q2:\mBbbP{}].    (\{P1  \mLeftarrow{}{}\mRightarrow{}  P2\}  {}\mRightarrow{}  \{Q1  \mLeftarrow{}{}\mRightarrow{}  Q2\}  {}\mRightarrow{}  \{P1  {}\mRightarrow{}  Q1  \mLeftarrow{}{}\mRightarrow{}  P2  {}\mRightarrow{}  Q2\})


By

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Latex:
(Unfold  `guard`  0  THEN  Auto)

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