[Merged by Bors] - feat(ring_theory/prod): ring homs to/from R × S
#2836
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* move some instances from `algebra/pi_instances`; * add `prod.comm_semiring`; * define `ring_hom.fst`, `ring_hom.snd`, `ring_hom.prod`, and `ring_hom.prod_map`.
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urkud
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R × S
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R × SR × S
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~~Depends on #2836,~~ needs a better module docstring. Some lemmas are missing, most notably `(subsemiring.closure s : set R) = add_submonoid.closure (submonoid.closure s)`.
cipher1024
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…ty#2836) * move some instances from `algebra/pi_instances`; * add `prod.comm_semiring`; * define `ring_hom.fst`, `ring_hom.snd`, `ring_hom.prod`, and `ring_hom.prod_map`.
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Mar 15, 2022
~~Depends on leanprover-community#2836,~~ needs a better module docstring. Some lemmas are missing, most notably `(subsemiring.closure s : set R) = add_submonoid.closure (submonoid.closure s)`.
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algebra/pi_instances;prod.comm_semiring;ring_hom.fst,ring_hom.snd,ring_hom.prod, andring_hom.prod_map.