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Step * of Lemma face-term-at-restriction-eq-1

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∀[Gamma:j⊢]. ∀[phi:{Gamma ⊢ _:𝔽}]. ∀[A,B:fset(ℕ)]. ∀[g:B ⟶ A]. ∀[v:Gamma(A)].
  phi(g(v)) = 1 ∈ Point(face_lattice(B)) supposing phi(v) = 1 ∈ Point(face_lattice(A))
BY
{ (Auto THEN RWO "face-term-at-restriction" 0 THEN Auto) }

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Latex:

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Latex:
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\mforall{}[Gamma:j\mvdash{}].  \mforall{}[phi:\{Gamma  \mvdash{}  \_:\mBbbF{}\}].  \mforall{}[A,B:fset(\mBbbN{})].  \mforall{}[g:B  {}\mrightarrow{}  A].  \mforall{}[v:Gamma(A)].
    phi(g(v))  =  1  supposing  phi(v)  =  1


By

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Latex:
(Auto  THEN  RWO  "face-term-at-restriction"  0  THEN  Auto)

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