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Step * 1 of Lemma context-1-subset


1. Gamma : CubicalSet{j}
⊢ 1(Gamma) ∈ Gamma j⟶ Gamma, 1(𝔽)
BY
{ (DCubicalSet 1
   THEN MemTypeCD
   THEN RepUR ``face-1 csm-id cube-cat type-cat op-cat cat-ob cat-arrow`` 0
   THEN RepUR ``functor-ob functor-arrow cat-comp context-subset I_cube`` 0
   THEN RepUR ``cubical-term-at compose`` 0
   THEN RepUR ``face-1 csm-id cube-cat type-cat op-cat cat-ob cat-arrow`` -1
   THEN RepUR ``functor-ob functor-arrow cat-comp context-subset I_cube`` -1
   THEN RepUR ``cubical-term-at compose`` -1
   THEN Auto) }

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Latex:

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Latex:

1.  Gamma  :  CubicalSet\{j\}
\mvdash{}  1(Gamma)  \mmember{}  Gamma  j{}\mrightarrow{}  Gamma,  1(\mBbbF{})


By

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Latex:
(DCubicalSet  1
  THEN  MemTypeCD
  THEN  RepUR  ``face-1  csm-id  cube-cat  type-cat  op-cat  cat-ob  cat-arrow``  0
  THEN  RepUR  ``functor-ob  functor-arrow  cat-comp  context-subset  I\_cube``  0
  THEN  RepUR  ``cubical-term-at  compose``  0
  THEN  RepUR  ``face-1  csm-id  cube-cat  type-cat  op-cat  cat-ob  cat-arrow``  -1
  THEN  RepUR  ``functor-ob  functor-arrow  cat-comp  context-subset  I\_cube``  -1
  THEN  RepUR  ``cubical-term-at  compose``  -1
  THEN  Auto)

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