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Step * of Lemma face-term-at-restriction

No Annotations
∀[Gamma:j⊢]. ∀[phi:{Gamma ⊢ _:𝔽}]. ∀[I,J:fset(ℕ)]. ∀[f:J ⟶ I]. ∀[a:Gamma(I)].  (phi(f(a)) = f(phi(a)) ∈ 𝔽(J))
BY
{ (Auto
   THEN RepUR ``face-presheaf`` 0
   THEN DVar `phi'
   THEN RepUR ``cubical-term-at`` 0
   THEN (RWO "face-type-ap-morph" 3 THENA Auto)
   THEN (Symmetry THEN BHyp 3)
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[Gamma:j\mvdash{}].  \mforall{}[phi:\{Gamma  \mvdash{}  \_:\mBbbF{}\}].  \mforall{}[I,J:fset(\mBbbN{})].  \mforall{}[f:J  {}\mrightarrow{}  I].  \mforall{}[a:Gamma(I)].
    (phi(f(a))  =  f(phi(a)))


By

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Latex:
(Auto
  THEN  RepUR  ``face-presheaf``  0
  THEN  DVar  `phi'
  THEN  RepUR  ``cubical-term-at``  0
  THEN  (RWO  "face-type-ap-morph"  3  THENA  Auto)
  THEN  (Symmetry  THEN  BHyp  3)
  THEN  Auto)

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