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Step * of Lemma dl-valid-box-dist-and2

∀a:Prog. ∀phi,psi:Prop.  (|= [a] phi ∧ [a] psi ⇒ |= [a] phi ∧ psi)
BY
{ (((Auto THEN ParallelLast THEN All DlSemReduce) THEN Auto) THEN InstHyp [⌜K⌝;⌜R⌝;⌜P⌝;⌜k⌝;⌜k'⌝] (4)⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}a:Prog.  \mforall{}phi,psi:Prop.    (|=  [a]  phi  \mwedge{}  [a]  psi  {}\mRightarrow{}  |=  [a]  phi  \mwedge{}  psi)


By

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Latex:
(((Auto  THEN  ParallelLast  THEN  All  DlSemReduce)  THEN  Auto)
  THEN  InstHyp  [\mkleeneopen{}K\mkleeneclose{};\mkleeneopen{}R\mkleeneclose{};\mkleeneopen{}P\mkleeneclose{};\mkleeneopen{}k\mkleeneclose{};\mkleeneopen{}k'\mkleeneclose{}]  (4)\mcdot{}
  THEN  Auto)

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