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Step * of Lemma and_functionality_wrt_uiff3

∀[P1,P2,Q1,Q2:ℙ].  ((P1 = P2 ∈ ℙ) ⇒ {uiff(Q1;Q2)} ⇒ {P1 ∧ Q1 ⇐⇒ P2 ∧ Q2})
BY
{ (Unfold `guard` 0 THEN Auto THEN ThinTrivial THEN Auto THEN RWO "5 5<" 0 THEN Auto) }

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Latex:

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


By

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Latex:
(Unfold  `guard`  0  THEN  Auto  THEN  ThinTrivial  THEN  Auto  THEN  RWO  "5  5<"  0  THEN  Auto)

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