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Step * of Lemma uniform-extend-contractible

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∀Gamma:j⊢. ∀A:{Gamma ⊢ _}. ∀ext:Gamma +⊢ Extension(A).  {Gamma ⊢ _:Contractible(A)}
BY
{ (Intros THEN UseWitness ⌜extend-to-contraction(Gamma;A;ext)⌝⋅ THEN Auto) }

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Latex:

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Latex:
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\mforall{}Gamma:j\mvdash{}.  \mforall{}A:\{Gamma  \mvdash{}  \_\}.  \mforall{}ext:Gamma  +\mvdash{}  Extension(A).    \{Gamma  \mvdash{}  \_:Contractible(A)\}


By

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Latex:
(Intros  THEN  UseWitness  \mkleeneopen{}extend-to-contraction(Gamma;A;ext)\mkleeneclose{}\mcdot{}  THEN  Auto)

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