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[Merged by Bors] - feat(CategoryTheory/Shift): more compatibilities for NatTrans.CommShift #14187

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@joelriou joelriou commented Jun 27, 2024

In this file, we show various compatibilities for the commutation of natural transformations with shifts. In particular, if F, G, H are composable functors which commute with shifts on the categories, then the associator isomorphism
(F ⋙ G) ⋙ H ≅ F ⋙ (G ⋙ H) commutes with the shifts.


This shall be used in order to obtain more compatibilities for the triangulated functor Functor.mapDerivedCategory defined in #14153.

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@joelriou joelriou added the t-category-theory Category theory label Jun 27, 2024
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github-actions bot commented Jun 27, 2024

PR summary 12ec8570bb

Import changes

No significant changes to the import graph


Declarations diff

+ NatTrans.CommShift.verticalComposition
+ associator
+ commShiftIso_id_hom_app
+ commShiftIso_id_inv_app
+ leftUnitor
+ rightUnitor

You can run this locally as follows
## summary with just the declaration names:
./scripts/no_lost_declarations.sh short <optional_commit>

## more verbose report:
./scripts/no_lost_declarations.sh <optional_commit>

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kim-em commented Jul 1, 2024

bors merge

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Jul 1, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jul 1, 2024
…ft (#14187)

In this file, we show various compatibilities for the commutation of natural transformations with shifts. In particular, if `F`, `G`, `H` are composable functors which commute with shifts on the categories, then the associator isomorphism
`(F ⋙ G) ⋙ H ≅ F ⋙ (G ⋙ H)` commutes with the shifts.
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mathlib-bors bot commented Jul 1, 2024

Build failed (retrying...):

mathlib-bors bot pushed a commit that referenced this pull request Jul 1, 2024
…ft (#14187)

In this file, we show various compatibilities for the commutation of natural transformations with shifts. In particular, if `F`, `G`, `H` are composable functors which commute with shifts on the categories, then the associator isomorphism
`(F ⋙ G) ⋙ H ≅ F ⋙ (G ⋙ H)` commutes with the shifts.
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mathlib-bors bot commented Jul 1, 2024

Build failed (retrying...):

mathlib-bors bot pushed a commit that referenced this pull request Jul 1, 2024
…ft (#14187)

In this file, we show various compatibilities for the commutation of natural transformations with shifts. In particular, if `F`, `G`, `H` are composable functors which commute with shifts on the categories, then the associator isomorphism
`(F ⋙ G) ⋙ H ≅ F ⋙ (G ⋙ H)` commutes with the shifts.
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mathlib-bors bot commented Jul 1, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/Shift): more compatibilities for NatTrans.CommShift [Merged by Bors] - feat(CategoryTheory/Shift): more compatibilities for NatTrans.CommShift Jul 1, 2024
@mathlib-bors mathlib-bors bot closed this Jul 1, 2024
@mathlib-bors mathlib-bors bot deleted the commshift-compatibility-vectical-comp branch July 1, 2024 14:45
dagurtomas pushed a commit that referenced this pull request Jul 2, 2024
…ft (#14187)

In this file, we show various compatibilities for the commutation of natural transformations with shifts. In particular, if `F`, `G`, `H` are composable functors which commute with shifts on the categories, then the associator isomorphism
`(F ⋙ G) ⋙ H ≅ F ⋙ (G ⋙ H)` commutes with the shifts.
@adomani adomani mentioned this pull request Aug 1, 2024
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