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Step * of Lemma empty-context-lemma

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∀[Gamma:j⊢]. ∀[A,x:Top].  (x ∈ {Gamma ⊢ _:A}) supposing ∀I:fset(ℕ). (¬Gamma(I))
BY
{ (Intros THEN Unfold `member` 0 THEN InstLemma `empty-context-eq-lemma` [⌜Gamma⌝;⌜A⌝;⌜x⌝;⌜x⌝]⋅ THEN Auto) }

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Latex:

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Latex:
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\mforall{}[Gamma:j\mvdash{}].  \mforall{}[A,x:Top].    (x  \mmember{}  \{Gamma  \mvdash{}  \_:A\})  supposing  \mforall{}I:fset(\mBbbN{}).  (\mneg{}Gamma(I))


By

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Latex:
(Intros
  THEN  Unfold  `member`  0
  THEN  InstLemma  `empty-context-eq-lemma`  [\mkleeneopen{}Gamma\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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