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Step * 2 of Lemma singleton-contraction_wf2


1. X : CubicalSet{j}
2. T : {X ⊢ _}
3. a : {X ⊢ _:T}
4. s : {X ⊢ _:Singleton(a)}
5. singleton-contraction(X;s.2) ∈ {X ⊢ _:(Path_Singleton(a) singleton-center(X;a) cubical-pair(s.1;s.2))}
⊢ singleton-contraction(X;s.2) ∈ {X ⊢ _:(Path_Singleton(a) singleton-center(X;a) s)}
BY
{ (InferEqualType THEN Auto) }

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Latex:

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Latex:

1.  X  :  CubicalSet\{j\}
2.  T  :  \{X  \mvdash{}  \_\}
3.  a  :  \{X  \mvdash{}  \_:T\}
4.  s  :  \{X  \mvdash{}  \_:Singleton(a)\}
5.  singleton-contraction(X;s.2)  \mmember{}  \{X  \mvdash{}  \_:(Path\_Singleton(a)  singleton-center(X;a)
                                                                                              cubical-pair(s.1;s.2))\}
\mvdash{}  singleton-contraction(X;s.2)  \mmember{}  \{X  \mvdash{}  \_:(Path\_Singleton(a)  singleton-center(X;a)  s)\}


By

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Latex:
(InferEqualType  THEN  Auto)

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