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Step * 1 of Lemma term-to-path_wf

.....wf..... 
1. X : CubicalSet{j}
2. A : {X ⊢ _}
3. a : {X.𝕀 ⊢ _:(A)p}
⊢ (λa) ∈ {X ⊢ _:Path(A)}
BY
{ ((InstLemma `cubical-lambda_wf` [⌜X⌝;⌜𝕀⌝;⌜(A)p⌝;⌜a⌝]⋅ THENA Auto)
   THEN (InstLemma `cubical-fun-as-cubical-pi` [⌜X⌝;⌜𝕀⌝;⌜A⌝]⋅ THENA Auto)
   THEN Fold `pathtype` (-1)
   THEN InferEqualType
   THEN Auto) }

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Latex:

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Latex:
.....wf..... 
1.  X  :  CubicalSet\{j\}
2.  A  :  \{X  \mvdash{}  \_\}
3.  a  :  \{X.\mBbbI{}  \mvdash{}  \_:(A)p\}
\mvdash{}  (\mlambda{}a)  \mmember{}  \{X  \mvdash{}  \_:Path(A)\}


By

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Latex:
((InstLemma  `cubical-lambda\_wf`  [\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}\mBbbI{}\mkleeneclose{};\mkleeneopen{}(A)p\mkleeneclose{};\mkleeneopen{}a\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  (InstLemma  `cubical-fun-as-cubical-pi`  [\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}\mBbbI{}\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  Fold  `pathtype`  (-1)
  THEN  InferEqualType
  THEN  Auto)

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