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Step * of Lemma csm-ap-term-universe

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∀[X,H:j⊢]. ∀[s:H j⟶ X]. ∀[t:{X ⊢ _:c𝕌}].  ((t)s ∈ {H ⊢ _:c𝕌})
BY
{ ((Intros THEN (InstLemma `csm-ap-term_wf` [⌜parm{j}⌝;⌜parm{i'}⌝;⌜H⌝;⌜X⌝;⌜c𝕌⌝;⌜s⌝;⌜t⌝]⋅ THENA Auto))
   THEN RWO "csm-cubical-universe" (-1)
   THEN Auto) }

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Latex:

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Latex:
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\mforall{}[X,H:j\mvdash{}].  \mforall{}[s:H  j{}\mrightarrow{}  X].  \mforall{}[t:\{X  \mvdash{}  \_:c\mBbbU{}\}].    ((t)s  \mmember{}  \{H  \mvdash{}  \_:c\mBbbU{}\})


By

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Latex:
((Intros  THEN  (InstLemma  `csm-ap-term\_wf`  [\mkleeneopen{}parm\{j\}\mkleeneclose{};\mkleeneopen{}parm\{i'\}\mkleeneclose{};\mkleeneopen{}H\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}c\mBbbU{}\mkleeneclose{};\mkleeneopen{}s\mkleeneclose{};\mkleeneopen{}t\mkleeneclose{}]\mcdot{}  THENA  Auto))
  THEN  RWO  "csm-cubical-universe"  (-1)
  THEN  Auto)

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