Step * 1 2 of Lemma csm-rev-type-line-comp


1. CubicalSet{j}
2. CubicalSet{j}
3. tau j⟶ G
4. {G.𝕀 ⊢ _}
5. cA G.𝕀 ⊢ CompOp(A)
⊢ ((cA)(p;1-(q)))tau+ ((cA)(p;1-(q)))tau+ ∈ K.𝕀 ⊢ CompOp(((A)(p;1-(q)))tau+)
BY
((Assert 1-(q) ∈ {G.𝕀 ⊢ _:(𝕀)p} BY (SubsumeC ⌜{G.𝕀 ⊢ _:𝕀}⌝⋅ THEN Auto)) THEN Auto) }


Latex:


Latex:

1.  G  :  CubicalSet\{j\}
2.  K  :  CubicalSet\{j\}
3.  tau  :  K  j{}\mrightarrow{}  G
4.  A  :  \{G.\mBbbI{}  \mvdash{}  \_\}
5.  cA  :  G.\mBbbI{}  \mvdash{}  CompOp(A)
\mvdash{}  ((cA)(p;1-(q)))tau+  =  ((cA)(p;1-(q)))tau+


By


Latex:
((Assert  1-(q)  \mmember{}  \{G.\mBbbI{}  \mvdash{}  \_:(\mBbbI{})p\}  BY  (SubsumeC  \mkleeneopen{}\{G.\mBbbI{}  \mvdash{}  \_:\mBbbI{}\}\mkleeneclose{}\mcdot{}  THEN  Auto))  THEN  Auto)




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