I have some clues regarding Glue
based on a paper here and the accepted answer here.
The first resource says that Glue
"glues together" a partial and total types along a partial equivalence between them. Hm, okay, let's carry on.
The second resource references the fact that Glue
extends a partial Ξ£(π:π) (πβπ΅)
to total one. This is in line with the fact that univalence, the theorem Glue
was devised for, is itself equivalent to Ξ£(π:π) (πβπ΅)
being contractible which is, AFAIU, equivalent (in the Cubical setting) to asking that every partial Ξ£(π:π) (πβπ΅)
can be extended to a total one. The last condition seems to be very similar to what Glue
does, but I still don't see the full picture. Also I don't understand the intuition behind elements of Glue
, i.e. glue
and elimination of Glue
, i.e. unglue
whatsoever.
glue
andunglue
. $\endgroup$