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Step * of Lemma es-knows-valid

∀[poss:EO ─→ ℙ']. ∀[R:PossibleEvent(poss) ─→ PossibleEvent(poss) ─→ ℙ']. ∀[P:PossibleEvent(poss) ─→ ℙ'].
  ((∀e:PossibleEvent(poss). (P e)) ⇒ (∀e:PossibleEvent(poss). K(P)@e))
BY
{ (Unfold `es-knows` 0 THEN Auto) }

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Latex:


\mforall{}[poss:EO  {}\mrightarrow{}  \mBbbP{}'].  \mforall{}[R:PossibleEvent(poss)  {}\mrightarrow{}  PossibleEvent(poss)  {}\mrightarrow{}  \mBbbP{}'].
\mforall{}[P:PossibleEvent(poss)  {}\mrightarrow{}  \mBbbP{}'].
    ((\mforall{}e:PossibleEvent(poss).  (P  e))  {}\mRightarrow{}  (\mforall{}e:PossibleEvent(poss).  K(P)@e))


By

(Unfold  `es-knows`  0  THEN  Auto)

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