Step
*
1
2
of Lemma
groupoids_wf
.....wf..... 
λG,H,K,F,G. functor-comp(F;G) ∈ x:Groupoid
⟶ y:Groupoid
⟶ z:Groupoid
⟶ groupoid-map(x;y)
⟶ groupoid-map(y;z)
⟶ groupoid-map(x;z)
BY
{ (Auto THEN D -2 THEN D -1 THEN MemTypeCD THEN Auto THEN RepUR ``functor-comp`` 0 THEN (RWW "5 7" 0 THENA Auto)) }
Latex:
Latex:
.....wf..... 
\mlambda{}G,H,K,F,G.  functor-comp(F;G)  \mmember{}  x:Groupoid
{}\mrightarrow{}  y:Groupoid
{}\mrightarrow{}  z:Groupoid
{}\mrightarrow{}  groupoid-map(x;y)
{}\mrightarrow{}  groupoid-map(y;z)
{}\mrightarrow{}  groupoid-map(x;z)
By
Latex:
(Auto
  THEN  D  -2
  THEN  D  -1
  THEN  MemTypeCD
  THEN  Auto
  THEN  RepUR  ``functor-comp``  0
  THEN  (RWW  "5  7"  0  THENA  Auto))
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