Step
*
1
of Lemma
universe-encode_wf
1. G : CubicalSet{j}
2. T : {G ⊢ _}
3. cT : G ⊢ CompOp(T)
4. G ⊢' c𝕌
5. I : fset(ℕ)
6. a : G(I)
⊢ <(T)<a>, (cT)<a>> ∈ A:{formal-cube(I) ⊢ _} × formal-cube(I) ⊢ CompOp(A)
BY
{ Auto }
Latex:
Latex:
1. G : CubicalSet\{j\}
2. T : \{G \mvdash{} \_\}
3. cT : G \mvdash{} CompOp(T)
4. G \mvdash{}' c\mBbbU{}
5. I : fset(\mBbbN{})
6. a : G(I)
\mvdash{} <(T)<a>, (cT)<a>> \mmember{} A:\{formal-cube(I) \mvdash{} \_\} \mtimes{} formal-cube(I) \mvdash{} CompOp(A)
By
Latex:
Auto
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