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