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Step * of Lemma fl_all-id

∀[I:fset(ℕ)]. ∀[i:{i:ℕ| ¬i ∈ I} ]. ∀[phi:Point(face_lattice(I))].  ((∀i.phi) = phi ∈ Point(face_lattice(I)))
BY
{ (Auto THEN Unfold `fl_all` 0 THEN (InstLemma `fl-all-hom_wf` [⌜I⌝;⌜i⌝]⋅ THENA Auto) THEN MemTypeHD (-1)⋅ THEN Auto) }

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Latex:

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Latex:
\mforall{}[I:fset(\mBbbN{})].  \mforall{}[i:\{i:\mBbbN{}|  \mneg{}i  \mmember{}  I\}  ].  \mforall{}[phi:Point(face\_lattice(I))].    ((\mforall{}i.phi)  =  phi)


By

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Latex:
(Auto
  THEN  Unfold  `fl\_all`  0
  THEN  (InstLemma  `fl-all-hom\_wf`  [\mkleeneopen{}I\mkleeneclose{};\mkleeneopen{}i\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  MemTypeHD
  (-1)\mcdot{}
  THEN  Auto)

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