Step * of Lemma cubical-universe-p

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[G:j⊢]. ∀[A:{G ⊢ _:c𝕌}]. ∀[T:{G ⊢ _}].  ((A)p ∈ {G.T ⊢ _:c𝕌})
BY
(Intros⋅
   THEN (InstLemma `csm-ap-term-p` [⌜parm{j}⌝;⌜parm{i'}⌝;⌜G⌝;⌜c𝕌⌝;⌜T⌝;⌜A⌝]⋅ THENA Auto)
   THEN RWO "csm-cubical-universe" (-1)
   THEN Auto) }


Latex:


Latex:
No  Annotations
\mforall{}[G:j\mvdash{}].  \mforall{}[A:\{G  \mvdash{}  \_:c\mBbbU{}\}].  \mforall{}[T:\{G  \mvdash{}  \_\}].    ((A)p  \mmember{}  \{G.T  \mvdash{}  \_:c\mBbbU{}\})


By


Latex:
(Intros\mcdot{}
  THEN  (InstLemma  `csm-ap-term-p`  [\mkleeneopen{}parm\{j\}\mkleeneclose{};\mkleeneopen{}parm\{i'\}\mkleeneclose{};\mkleeneopen{}G\mkleeneclose{};\mkleeneopen{}c\mBbbU{}\mkleeneclose{};\mkleeneopen{}T\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  RWO  "csm-cubical-universe"  (-1)
  THEN  Auto)




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