Step
*
of Lemma
implies_functionality_wrt_implies
∀[P1,P2,Q1,Q2:ℙ].  ({P1 ⇐ P2} ⇒ {Q1 ⇒ Q2} ⇒ {(P1 ⇒ Q1) ⇒ P2 ⇒ Q2})
BY
{ (Unfold `guard` 0 THEN Auto) }
Latex:
Latex:
\mforall{}[P1,P2,Q1,Q2:\mBbbP{}].    (\{P1  \mLeftarrow{}{}  P2\}  {}\mRightarrow{}  \{Q1  {}\mRightarrow{}  Q2\}  {}\mRightarrow{}  \{(P1  {}\mRightarrow{}  Q1)  {}\mRightarrow{}  P2  {}\mRightarrow{}  Q2\})
By
Latex:
(Unfold  `guard`  0  THEN  Auto)
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