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Step * of Lemma empty-context-subset-lemma3

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∀[Gamma:j⊢]. ∀[A,x,y:Top].  (x = y ∈ {Gamma, 0(𝔽) ⊢ _:A})
BY
{ ((Intros THEN Unhide)
   THEN At ⌜𝕌'⌝ EqTypeCD⋅
   THEN (RepeatFor 2 ((FunExt THENA Auto)) ORELSE (D 0 THEN Try (InstLemma `face-lattice-0-not-1` [⌜I⌝]⋅) THEN Auto))
   THEN RepUR ``context-subset cube-context-adjoin`` -1
   THEN D -1
   THEN RepUR ``face-0 cubical-term-at`` -1
   THEN InstLemma `face-lattice-0-not-1` [⌜I⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}[Gamma:j\mvdash{}].  \mforall{}[A,x,y:Top].    (x  =  y)


By

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Latex:
((Intros  THEN  Unhide)
  THEN  At  \mkleeneopen{}\mBbbU{}'\mkleeneclose{}  EqTypeCD\mcdot{}
  THEN  (RepeatFor  2  ((FunExt  THENA  Auto))
  ORELSE  (D  0  THEN  Try  (InstLemma  `face-lattice-0-not-1`  [\mkleeneopen{}I\mkleeneclose{}]\mcdot{})  THEN  Auto)
  )
  THEN  RepUR  ``context-subset  cube-context-adjoin``  -1
  THEN  D  -1
  THEN  RepUR  ``face-0  cubical-term-at``  -1
  THEN  InstLemma  `face-lattice-0-not-1`  [\mkleeneopen{}I\mkleeneclose{}]\mcdot{}
  THEN  Auto)

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