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Step * of Lemma cubical-refl_wf

No Annotations
∀[X:j⊢]. ∀[A:{X ⊢ _}]. ∀[a:{X ⊢ _:A}].  (refl(a) ∈ {X ⊢ _:(Path_A a a)})
BY
{ (ProveWfLemma
   THEN (InstLemma `term-to-path_wf` [⌜X⌝;⌜A⌝;⌜(a)p⌝]⋅ THENA Auto)
   THEN InferEqualType
   THEN Try (Trivial)) }

1
1. X : CubicalSet{j}
2. A : {X ⊢ _}
3. a : {X ⊢ _:A}
4. <>((a)p) ∈ {X ⊢ _:(Path_A ((a)p)[0(𝕀)] ((a)p)[1(𝕀)])}
⊢ {X ⊢ _:(Path_A ((a)p)[0(𝕀)] ((a)p)[1(𝕀)])} = {X ⊢ _:(Path_A a a)} ∈ 𝕌{[i | j']}

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Latex:

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Latex:
No  Annotations
\mforall{}[X:j\mvdash{}].  \mforall{}[A:\{X  \mvdash{}  \_\}].  \mforall{}[a:\{X  \mvdash{}  \_:A\}].    (refl(a)  \mmember{}  \{X  \mvdash{}  \_:(Path\_A  a  a)\})


By

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Latex:
(ProveWfLemma
  THEN  (InstLemma  `term-to-path\_wf`  [\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}(a)p\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  InferEqualType
  THEN  Try  (Trivial))

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