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Step * of Lemma pscm-dependent_wf

No Annotations
∀C:SmallCategory. ∀X,Delta:ps_context{j:l}(C). ∀A:{X ⊢ _}. ∀s:psc_map{j:l}(C; Delta; X).
  ((s)dep ∈ psc_map{j:l}(C; Delta.(A)s; X.A))
BY
{ ((Intros THEN Unfold `pscm-dependent` 0)
   THEN (InstLemma `typed-psc-fst_wf` [⌜C⌝;⌜Delta⌝;⌜(A)s⌝]⋅ THENA Auto)
   THEN (InstLemma `typed-psc-snd_wf` [⌜C⌝;⌜Delta⌝;⌜(A)s⌝]⋅ THENA Auto)
   THEN InstLemma `pscm-adjoin_wf` [⌜parm{i}⌝;⌜parm{i|j}⌝;⌜C⌝;⌜X⌝;⌜Delta.(A)s⌝;⌜A⌝;⌜s o tp{i:l}⌝;⌜tq⌝]⋅
   THEN Auto) }

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Latex:

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Latex:
No  Annotations
\mforall{}C:SmallCategory.  \mforall{}X,Delta:ps\_context\{j:l\}(C).  \mforall{}A:\{X  \mvdash{}  \_\}.  \mforall{}s:psc\_map\{j:l\}(C;  Delta;  X).
    ((s)dep  \mmember{}  psc\_map\{j:l\}(C;  Delta.(A)s;  X.A))


By

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Latex:
((Intros  THEN  Unfold  `pscm-dependent`  0)
  THEN  (InstLemma  `typed-psc-fst\_wf`  [\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}Delta\mkleeneclose{};\mkleeneopen{}(A)s\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  (InstLemma  `typed-psc-snd\_wf`  [\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}Delta\mkleeneclose{};\mkleeneopen{}(A)s\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  InstLemma  `pscm-adjoin\_wf`  [\mkleeneopen{}parm\{i\}\mkleeneclose{};\mkleeneopen{}parm\{i|j\}\mkleeneclose{};\mkleeneopen{}C\mkleeneclose{};\mkleeneopen{}X\mkleeneclose{};\mkleeneopen{}Delta.(A)s\mkleeneclose{};\mkleeneopen{}A\mkleeneclose{};\mkleeneopen{}s  o  tp\{i:l\}\mkleeneclose{};\mkleeneopen{}tq\mkleeneclose{}]
  \mcdot{}
  THEN  Auto)

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