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Step * of Lemma composition-implies-filling-structure

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∀Gamma:j⊢. ∀A:{Gamma ⊢ _}.  (Gamma ⊢ Compositon(A) ⇒ Gamma ⊢ Filling(A))
BY
{ (Auto THEN RenameVar `cA' (-1) THEN UseWitness ⌜comp-to-fill(Gamma;cA)⌝⋅ THEN Auto) }

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Latex:

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Latex:
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\mforall{}Gamma:j\mvdash{}.  \mforall{}A:\{Gamma  \mvdash{}  \_\}.    (Gamma  \mvdash{}  Compositon(A)  {}\mRightarrow{}  Gamma  \mvdash{}  Filling(A))


By

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Latex:
(Auto  THEN  RenameVar  `cA'  (-1)  THEN  UseWitness  \mkleeneopen{}comp-to-fill(Gamma;cA)\mkleeneclose{}\mcdot{}  THEN  Auto)

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