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Step * 1 of Lemma context-map-lemma1


1. Gamma : CubicalSet{j}
2. phi : {Gamma ⊢ _:𝔽}
3. I : fset(ℕ)
4. rho : Gamma(I)
5. i : ℕ
⊢ <s(rho)> ∈ I+i,s(phi(rho)) j⟶ Gamma, phi
BY
{ (InstLemma `context-subset-map` [⌜Gamma⌝;⌜phi⌝;⌜formal-cube(I+i)⌝;⌜<s(rho)>⌝]⋅ THENA Auto) }

1
1. Gamma : CubicalSet{j}
2. phi : {Gamma ⊢ _:𝔽}
3. I : fset(ℕ)
4. rho : Gamma(I)
5. i : ℕ
6. <s(rho)> ∈ formal-cube(I+i), (phi)<s(rho)> j⟶ Gamma, phi
⊢ <s(rho)> ∈ I+i,s(phi(rho)) j⟶ Gamma, phi

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Latex:

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Latex:

1.  Gamma  :  CubicalSet\{j\}
2.  phi  :  \{Gamma  \mvdash{}  \_:\mBbbF{}\}
3.  I  :  fset(\mBbbN{})
4.  rho  :  Gamma(I)
5.  i  :  \mBbbN{}
\mvdash{}  <s(rho)>  \mmember{}  I+i,s(phi(rho))  j{}\mrightarrow{}  Gamma,  phi


By

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Latex:
(InstLemma  `context-subset-map`  [\mkleeneopen{}Gamma\mkleeneclose{};\mkleeneopen{}phi\mkleeneclose{};\mkleeneopen{}formal-cube(I+i)\mkleeneclose{};\mkleeneopen{}<s(rho)>\mkleeneclose{}]\mcdot{}  THENA  Auto)

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