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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 10th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have re-written the (previously telegraphic) Definition-section from scratch ([here](https://ncatlab.org/nlab/show/store+comonad#OnACartesianClosedCategory)) adding more details, more formatting and more commentary. <a href="https://ncatlab.org/nlab/revision/diff/store+comonad/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/store+comonad/16">v16</a>, <a href="https://ncatlab.org/nlab/show/store+comonad">current</a>

   I have re-written the (previously telegraphic) Definition-section from scratch (here) adding more details, more formatting and more commentary.

   diff, v16, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 15th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave spelled out the proof ([here](https://ncatlab.org/nlab/show/store+comonad#LabelStoreComodalesAreLenses)) that $V$-store comodales are equivalently lawful lenses with view $V$. <a href="https://ncatlab.org/nlab/revision/diff/store+comonad/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/store+comonad/19">v19</a>, <a href="https://ncatlab.org/nlab/show/store+comonad">current</a>

   have spelled out the proof (here)

   that $V$-store comodales are equivalently lawful lenses with view $V$.

   diff, v19, current

3. • CommentRowNumber3.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 4th 2023
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexIn the latest revision to #20, Amélia Liao has replaced 'comodale' by 'comodule' several times, assuming it to be a typo I imagine. At the moment 'modale' is a redirect for [[modal type]]. [[lens (in computer science)]] has the terms 'modales' and 'comodales', but has them point to [[module over a monad]] and [[comodule over a comonad]].

   In the latest revision to #20, Amélia Liao has replaced ’comodale’ by ’comodule’ several times, assuming it to be a typo I imagine.

   At the moment ’modale’ is a redirect for modal type.

   lens (in computer science) has the terms ’modales’ and ’comodales’, but has them point to module over a monad and comodule over a comonad.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 4th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexIt's not a typo. The monad modules are its modal types. $$ \array{ \text{monoid} & \text{module} \\ \text{monad} & \text{modal} \\ \text{theory} & \text{model} } $$

   It’s not a typo.

   The monad modules are its modal types.

   $$\array{ \text{monoid} & \text{module} \\ \text{monad} & \text{modal} \\ \text{theory} & \text{model} }$$
5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 4th 2023
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItex>It’s not a typo. Of course, I got that. I'm pointing out that the message hasn't got across, and someone has taken it upon themselves to change what you'd written. I'm also pointing out that the nLab isn't helping someone to get this new terminology as nowhere does it explain it. And now to confuse further, there's an 'e' left out at the crucial place: $$ \array{ \text{monoid} & \text{module} \\ \text{monad} & \text{modal} \\ \text{theory} & \text{model} } $$

   It’s not a typo.

   Of course, I got that. I’m pointing out that the message hasn’t got across, and someone has taken it upon themselves to change what you’d written.

   I’m also pointing out that the nLab isn’t helping someone to get this new terminology as nowhere does it explain it.

   And now to confuse further, there’s an ’e’ left out at the crucial place:

   $$\array{ \text{monoid} & \text{module} \\ \text{monad} & \text{modal} \\ \text{theory} & \text{model} }$$
6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeOct 4th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexActually I had hyperlinked "comodale" to *[[coalgebra over a comonad]]* also in this entry here, my latest version is [revision 19](https://ncatlab.org/nlab/revision/store+comonad/19#LabelStoreComodalesAreLenses)

   Actually I had hyperlinked “comodale” to coalgebra over a comonad also in this entry here, my latest version is revision 19

7. • CommentRowNumber7.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 4th 2023
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexSo revert to revision 19 to undo Amélia's changes?

   So revert to revision 19 to undo Amélia’s changes?