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Step * 2 of Lemma rat-complex-boundary-iter-subdiv-polyhedron


1. k : ℕ
2. n : ℕ
3. K : n-dim-complex
4. j : ℕ
5. ¬(n = 0 ∈ ℤ)
⊢ |∂(K'^(j))| ≡ |∂(K)|
BY
{ (InstLemma `rat-complex-iter-subdiv-polyhedron` [⌜k⌝;⌜n - 1⌝;⌜∂(K)⌝;⌜j⌝]⋅ THENA Auto) }

1
1. k : ℕ
2. n : ℕ
3. K : n-dim-complex
4. j : ℕ
5. ¬(n = 0 ∈ ℤ)
6. |∂(K)'^(j)| ≡ |∂(K)|
⊢ |∂(K'^(j))| ≡ |∂(K)|

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Latex:

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Latex:

1.  k  :  \mBbbN{}
2.  n  :  \mBbbN{}
3.  K  :  n-dim-complex
4.  j  :  \mBbbN{}
5.  \mneg{}(n  =  0)
\mvdash{}  |\mpartial{}(K'\^{}(j))|  \mequiv{}  |\mpartial{}(K)|


By

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Latex:
(InstLemma  `rat-complex-iter-subdiv-polyhedron`  [\mkleeneopen{}k\mkleeneclose{};\mkleeneopen{}n  -  1\mkleeneclose{};\mkleeneopen{}\mpartial{}(K)\mkleeneclose{};\mkleeneopen{}j\mkleeneclose{}]\mcdot{}  THENA  Auto)

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