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finite sums of ring elements #1959
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Signed-off-by: Ali Caglayan <[email protected]>
Signed-off-by: Ali Caglayan <[email protected]>
I've rebased and split off the Kronecker delta stuff, generalising it to an arbitrary decidable type where applicable. I'll see about moving things about sums to abelian groups. |
Signed-off-by: Ali Caglayan <[email protected]>
@jdchristensen I've generalised sums from rings to abelian groups. However when the sum takes place in a ring, I've kept the lemma names as |
This looks better. It's actually possible to get rid of the ring assumption for most of the material on the Kronecker delta. It could be defined to land in |
Feel free to either merge as is, or to try changing the Kronecker delta to land in |
I'll leave generalising the Kronecker delta to a future PR. The only application I have in mind for this currently is for the identity matrix in #1965. The sum identities here allow us to show the identity matrix is a left and right identity. |
In this PR we define finite sums of ring elements and prove some basic properties about them. We also introduce the Kronecker delta function and prove some standard results about its interaction with sums.
Depends on #1956.