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Step * of Lemma pscm-ap-comp-type

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∀[C:SmallCategory]. ∀[Gamma,Delta,Z:ps_context{j:l}(C)]. ∀[s1:psc_map{j:l}(C; Z; Delta)]. ∀[s2:psc_map{j:l}(C;
                                                                                                            Delta;
                                                                                                            Gamma)].
∀[A:{Gamma ⊢ _}].
  ((A)s2 o s1 = ((A)s2)s1 ∈ {Z ⊢ _})
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\mforall{}[C:SmallCategory].  \mforall{}[Gamma,Delta,Z:ps\_context\{j:l\}(C)].  \mforall{}[s1:psc\_map\{j:l\}(C;  Z;  Delta)].
\mforall{}[s2:psc\_map\{j:l\}(C;  Delta;  Gamma)].  \mforall{}[A:\{Gamma  \mvdash{}  \_\}].
    ((A)s2  o  s1  =  ((A)s2)s1)


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