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Step * of Lemma bor-to-and

∀[a,b:𝔹].  {(a ~ ff) ∧ (b ~ ff)} supposing a ∨bb ~ ff
BY
{ (RepeatFor 2 ((D 0 THENA Auto)) THEN Unfold `guard` 0 THEN AutoBoolCase ⌜a⌝⋅ THEN AutoBoolCase ⌜b⌝⋅) }

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Latex:

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Latex:
\mforall{}[a,b:\mBbbB{}].    \{(a  \msim{}  ff)  \mwedge{}  (b  \msim{}  ff)\}  supposing  a  \mvee{}\msubb{}b  \msim{}  ff


By

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Latex:
(RepeatFor  2  ((D  0  THENA  Auto))  THEN  Unfold  `guard`  0  THEN  AutoBoolCase  \mkleeneopen{}a\mkleeneclose{}\mcdot{}  THEN  AutoBoolCase  \mkleeneopen{}b\mkleeneclose{}\mcdot{})

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