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