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Step * of Lemma rat-cube-sub-complex_wf

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∀[k,n:ℕ]. ∀[K:n-dim-complex]. ∀[P:{x:ℚCube(k)| (x ∈ K)}  ⟶ 𝔹].  (rat-cube-sub-complex(P;K) ∈ n-dim-complex)
BY
{ (Auto
   THEN DVar `K'
   THEN Unfold `rat-cube-sub-complex` 0
   THEN MemTypeCD
   THEN EAuto 1
   THEN Using [`T',{x:ℚCube(k)| (x ∈ K)} ] (BLemma `l_all_implies_l_all_filter`)⋅
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[k,n:\mBbbN{}].  \mforall{}[K:n-dim-complex].  \mforall{}[P:\{x:\mBbbQ{}Cube(k)|  (x  \mmember{}  K)\}    {}\mrightarrow{}  \mBbbB{}].
    (rat-cube-sub-complex(P;K)  \mmember{}  n-dim-complex)


By

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Latex:
(Auto
  THEN  DVar  `K'
  THEN  Unfold  `rat-cube-sub-complex`  0
  THEN  MemTypeCD
  THEN  EAuto  1
  THEN  Using  [`T',\{x:\mBbbQ{}Cube(k)|  (x  \mmember{}  K)\}  ]  (BLemma  `l\_all\_implies\_l\_all\_filter`)\mcdot{}
  THEN  Auto)

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