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Step * 1 of Lemma boundary-of-0-dim-is-nil

.....equality..... 
1. k : ℕ
2. K : ℚCube(k) List
3. (∀c∈K.dim(c) = 0 ∈ ℤ)
⊢ face-complex(k;K) ~ []
BY
{ (InstLemma `no-member-sq-nil` [⌜ℚCube(k)⌝]⋅ THENA Auto) }

1
1. k : ℕ
2. K : ℚCube(k) List
3. (∀c∈K.dim(c) = 0 ∈ ℤ)
4. ∀[L:ℚCube(k) List]. L ~ [] supposing ∀x:ℚCube(k). (¬(x ∈ L))
⊢ face-complex(k;K) ~ []

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Latex:

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Latex:
.....equality..... 
1.  k  :  \mBbbN{}
2.  K  :  \mBbbQ{}Cube(k)  List
3.  (\mforall{}c\mmember{}K.dim(c)  =  0)
\mvdash{}  face-complex(k;K)  \msim{}  []


By

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Latex:
(InstLemma  `no-member-sq-nil`  [\mkleeneopen{}\mBbbQ{}Cube(k)\mkleeneclose{}]\mcdot{}  THENA  Auto)

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