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