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Step * 2 of Lemma cube-cat-final


1. [x] : fset(ℕ)
2. ∀[f,g:names({}) ⟶ Point(dM(x))].  (f = g ∈ (names({}) ⟶ Point(dM(x))))
3. names({})
⊢ Point(dM(x))
BY
{ ((Assert ⌜False⌝⋅ THEN Auto) THEN D -1 THEN MoveToConcl (-1) THEN Fold `not` 0 THEN Auto) }

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Latex:

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Latex:

1.  [x]  :  fset(\mBbbN{})
2.  \mforall{}[f,g:names(\{\})  {}\mrightarrow{}  Point(dM(x))].    (f  =  g)
3.  names(\{\})
\mvdash{}  Point(dM(x))


By

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Latex:
((Assert  \mkleeneopen{}False\mkleeneclose{}\mcdot{}  THEN  Auto)  THEN  D  -1  THEN  MoveToConcl  (-1)  THEN  Fold  `not`  0  THEN  Auto)

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