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Step * of Lemma cubical-subset-is-context-subset-canonical

No Annotations
∀[I:fset(ℕ)]. ∀[psi:𝔽(I)].  (I,psi = formal-cube(I), canonical-section(();𝔽;I;⋅;psi) ∈ CubicalSet{j})
BY
{ (Intro
   THEN (InstLemma `cubical-subset-is-context-subset` [⌜parm{j}⌝;⌜I⌝]⋅ THENA Auto)
   THEN ParallelLast'
   THEN NthHypEqTrans (-1)
   THEN (InstLemma `formal-cube_wf` [⌜parm{j}⌝;⌜I⌝]⋅ THENA Auto)
   THEN EqCDA
   THEN Symmetry
   THEN (BLemma `cubical-term-equal` THENA Auto)) }

1
1. I : fset(ℕ)
2. psi : 𝔽(I)
3. I,psi = formal-cube(I), λJ,f. f(psi) ∈ CubicalSet{j}
4. formal-cube(I) j⊢
⊢ canonical-section(();𝔽;I;⋅;psi) = (λJ,f. f(psi)) ∈ (I1:fset(ℕ) ⟶ a:formal-cube(I)(I1) ⟶ 𝔽(a))

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Latex:

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Latex:
No  Annotations
\mforall{}[I:fset(\mBbbN{})].  \mforall{}[psi:\mBbbF{}(I)].    (I,psi  =  formal-cube(I),  canonical-section(();\mBbbF{};I;\mcdot{};psi))


By

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Latex:
(Intro
  THEN  (InstLemma  `cubical-subset-is-context-subset`  [\mkleeneopen{}parm\{j\}\mkleeneclose{};\mkleeneopen{}I\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  ParallelLast'
  THEN  NthHypEqTrans  (-1)
  THEN  (InstLemma  `formal-cube\_wf`  [\mkleeneopen{}parm\{j\}\mkleeneclose{};\mkleeneopen{}I\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  EqCDA
  THEN  Symmetry
  THEN  (BLemma  `cubical-term-equal`  THENA  Auto))

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