---

Step * of Lemma member-poset-cat-arrow

∀[I:Cname List]. ∀[x,y:cat-ob(poset-cat(I))].  λx.Ax ∈ cat-arrow(poset-cat(I)) x y supposing cat-arrow(poset-cat(I)) x y
BY
{ (InstLemma `poset-cat-arrow-equals` []
   THEN RepeatFor 3 (ParallelLast')
   THEN (D 0 THENA Auto)
   THEN RenameVar `a' (-1)
   THEN InstHyp [⌜a⌝] (-2)⋅
   THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[I:Cname  List].  \mforall{}[x,y:cat-ob(poset-cat(I))].
    \mlambda{}x.Ax  \mmember{}  cat-arrow(poset-cat(I))  x  y  supposing  cat-arrow(poset-cat(I))  x  y


By

---

Latex:
(InstLemma  `poset-cat-arrow-equals`  []
  THEN  RepeatFor  3  (ParallelLast')
  THEN  (D  0  THENA  Auto)
  THEN  RenameVar  `a'  (-1)
  THEN  InstHyp  [\mkleeneopen{}a\mkleeneclose{}]  (-2)\mcdot{}
  THEN  Auto)

---

Home Index