[Merged by Bors] - chore: forward port leanprover-community/mathlib#18815 and part of leanprover-community/mathlib#18248 #3496
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algebra.module.submodule.basic
@feb99064803fd3108e37c18b0f77d0a8344677a3
..155d5519569cecf21f48c534da8b729890e20ce6
topology.metric_space.pi_nat
@e1a7bdeb4fd826b7e71d130d34988f0a2d26a177
..49b7f94aab3a3bdca1f9f34c5d818afb253b3993
[Merged by Bors] - feat(algebra/module/submodule/basic): add has_vadd mathlib#18815
[Merged by Bors] - feat(topology/perfect): Schemes, embedding of the Cantor space mathlib#18248