I1l→L11!↑11λ⇓0R↑31α⇓↘S30Iright lax fiber→12r[λ](l↓R)10→11Q=rR→0G(e.g., R)C‖‖I→rR
Given the initial data, the span (0R:L←R→C:G0),
we wish to form
(the right Kan extension 20RanRG:L→C)
of G over R.
We do this "pointwise".
Given (an object 1l∈L),
form (its right lax fiber 10(l↓R)) as shown in the diagram above.
Then form
(the limit 20((Q=r)G)limC in C),
an arrow running from the top left in the above diagram southeast to the somewhat lower right,
together with
(its universal cone 21π:((Q=r)G)limC⇒(Q=r)G),
a 2-cell just below the just-mentioned arrow.
I1l→L11!↑11λ⇓0R↑311R⇓↘1L30Iright lax fiber→12r[λ](l↓R)10→11Q=rR→R0L‖‖I→rR