---

Step * of Lemma psc_map_subtype3

No Annotations
∀[C:SmallCategory]. ∀[X,Y,Z,U:ps_context{j:l}(C)].
  (psc_map{j:l}(C; X; Z) ⊆r psc_map{j:l}(C; Y; U)) supposing 
     (sub_ps_context{j:l}(C; Y; X) and 
     sub_ps_context{j:l}(C; Z; U))
BY
{ (Auto THEN Using [`B',⌜psc_map{j:l}(C; X; U)⌝] (BLemma  `subtype_rel_transitivity`)⋅ THEN Auto) }

---

Latex:

---

Latex:
No  Annotations
\mforall{}[C:SmallCategory].  \mforall{}[X,Y,Z,U:ps\_context\{j:l\}(C)].
    (psc\_map\{j:l\}(C;  X;  Z)  \msubseteq{}r  psc\_map\{j:l\}(C;  Y;  U))  supposing 
          (sub\_ps\_context\{j:l\}(C;  Y;  X)  and 
          sub\_ps\_context\{j:l\}(C;  Z;  U))


By

---

Latex:
(Auto  THEN  Using  [`B',\mkleeneopen{}psc\_map\{j:l\}(C;  X;  U)\mkleeneclose{}]  (BLemma    `subtype\_rel\_transitivity`)\mcdot{}  THEN  Auto)

---

Home Index