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Step * 1 2 of Lemma boundary-singleton-complex

.....falsecase..... 
1. k : ℕ
2. n : ℕ
3. c : {c:ℚCube(k)| dim(c) = n ∈ ℤ} 
4. ¬↑Inhabited(c)
⊢ rat-cube-sub-complex(λf.in-complex-boundary(k;f;[c]);remove-repeats(rc-deq(k);concat([[]]))) 
~ remove-repeats(rc-deq(k);rat-cube-faces(k;c))
BY
{ (((Assert ⌜False⌝⋅ THEN Auto) THEN D 3) THEN D -1) }

1
1. k : ℕ
2. n : ℕ
3. c : ℚCube(k)
4. dim(c) = n ∈ ℤ
⊢ ↑Inhabited(c)

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Latex:

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Latex:
.....falsecase..... 
1.  k  :  \mBbbN{}
2.  n  :  \mBbbN{}
3.  c  :  \{c:\mBbbQ{}Cube(k)|  dim(c)  =  n\} 
4.  \mneg{}\muparrow{}Inhabited(c)
\mvdash{}  rat-cube-sub-complex(\mlambda{}f.in-complex-boundary(k;f;[c]);remove-repeats(rc-deq(k);concat([[]]))) 
\msim{}  remove-repeats(rc-deq(k);rat-cube-faces(k;c))


By

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Latex:
(((Assert  \mkleeneopen{}False\mkleeneclose{}\mcdot{}  THEN  Auto)  THEN  D  3)  THEN  D  -1)

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