[Merged by Bors] - chore(algebra/parity): Reduce imports #17391
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I like it! bors d+ |
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This PR takes the stance that `algebra.parity` is a basic pure algebra file, and thus moves all the `zpow` material to `algebra.field.basic` and `algebra.order.field.power`, and the `irreducible` material to `algebra.associated`.
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Parity of elements in a group/ring is a basic algebraic concept, but it currently requires importing a bunch of algebraic order theory. As a consequence, `Algebra.Parity` currently holds a bunch of lemmas that really belong in earlier files but cannot due to import cycles. This PR moves the content of `Algebra.Parity` to * `Algebra.Group.Even` for the definition of `IsSquare` and `Even` * `Algebra.Ring.Parity` for the definition of `Odd` and ring properties of `Even` * `Algebra.Order.Group.Abs`, `Algebra.Order.Ring.Abs`, `Algebra.Order.Ring.Canonical`, `Algebra.Order.Sub.Canonical`, `Algebra.GroupPower.Order` for the various algebraic order properties of `Even` and `Odd` As a result, `Even`/`Odd` are available much more widely without awkward dependencies and algebraic order lemmas are now in the correct files. The only slight downfall is that two lemmas in `Algebra.Ring.Parity` are stated using `Set.range`, hence I had to weaken a few `assert_not_exists` to forbidding `Data.Set.Basic` instead of `Data.Set.Defs`. This is inconsequential. This is a followup to leanprover-community/mathlib#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated
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YaelDillies
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Parity of elements in a group/ring is a basic algebraic concept, but it currently requires importing a bunch of algebraic order theory. As a consequence, `Algebra.Parity` currently holds a bunch of lemmas that really belong in earlier files but cannot due to import cycles. This PR moves the content of `Algebra.Parity` to * `Algebra.Group.Even` for the definition of `IsSquare` and `Even` * `Algebra.Ring.Parity` for the definition of `Odd` and ring properties of `Even` * `Algebra.Order.Group.Abs`, `Algebra.Order.Ring.Abs`, `Algebra.Order.Ring.Canonical`, `Algebra.Order.Sub.Canonical`, `Algebra.GroupPower.Order` for the various algebraic order properties of `Even` and `Odd` As a result, `Even`/`Odd` are available much more widely without awkward dependencies and algebraic order lemmas are now in the correct files. The only slight downfall is that two lemmas in `Algebra.Ring.Parity` are stated using `Set.range`, hence I had to weaken a few `assert_not_exists` to forbidding `Data.Set.Basic` instead of `Data.Set.Defs`. This is inconsequential. A side-effect of this PR is that I had to move some `bit0`/`bit1` lemmas. I could not find anywhere sensible to put them, so I am currently keeping them in `Algebra.Parity`. As a result, I had to reprove a few lemmas in `Algebra.GroupPower.Order`. I took the opportunity to generalise them. This is a followup to leanprover-community/mathlib#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated and the move-only part of #11863.
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Parity of elements in a group/ring is a basic algebraic concept, but it currently requires importing a bunch of algebraic order theory. As a consequence, `Algebra.Parity` currently holds a bunch of lemmas that really belong in earlier files but cannot due to import cycles. This PR moves the content of `Algebra.Parity` to * `Algebra.Group.Even` for the definition of `IsSquare` and `Even` * `Algebra.Ring.Parity` for the definition of `Odd` and ring properties of `Even` * `Algebra.Order.Group.Abs`, `Algebra.Order.Ring.Abs`, `Algebra.Order.Ring.Canonical`, `Algebra.Order.Sub.Canonical`, `Algebra.GroupPower.Order` for the various algebraic order properties of `Even` and `Odd` As a result, `Even`/`Odd` are available much more widely without awkward dependencies and algebraic order lemmas are now in the correct files. The only slight downfall is that two lemmas in `Algebra.Ring.Parity` are stated using `Set.range`, hence I had to weaken a few `assert_not_exists` to forbidding `Data.Set.Basic` instead of `Data.Set.Defs`. This is inconsequential. A side-effect of this PR is that I had to move some `bit0`/`bit1` lemmas. I could not find anywhere sensible to put them, so I am currently keeping them in `Algebra.Parity`. As a result, I had to reprove a few lemmas in `Algebra.GroupPower.Order`. I took the opportunity to generalise them. This is a followup to leanprover-community/mathlib#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated and the move-only part of #11863.
callesonne
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May 16, 2024
Parity of elements in a group/ring is a basic algebraic concept, but it currently requires importing a bunch of algebraic order theory. As a consequence, `Algebra.Parity` currently holds a bunch of lemmas that really belong in earlier files but cannot due to import cycles. This PR moves the content of `Algebra.Parity` to * `Algebra.Group.Even` for the definition of `IsSquare` and `Even` * `Algebra.Ring.Parity` for the definition of `Odd` and ring properties of `Even` * `Algebra.Order.Group.Abs`, `Algebra.Order.Ring.Abs`, `Algebra.Order.Ring.Canonical`, `Algebra.Order.Sub.Canonical`, `Algebra.GroupPower.Order` for the various algebraic order properties of `Even` and `Odd` As a result, `Even`/`Odd` are available much more widely without awkward dependencies and algebraic order lemmas are now in the correct files. The only slight downfall is that two lemmas in `Algebra.Ring.Parity` are stated using `Set.range`, hence I had to weaken a few `assert_not_exists` to forbidding `Data.Set.Basic` instead of `Data.Set.Defs`. This is inconsequential. A side-effect of this PR is that I had to move some `bit0`/`bit1` lemmas. I could not find anywhere sensible to put them, so I am currently keeping them in `Algebra.Parity`. As a result, I had to reprove a few lemmas in `Algebra.GroupPower.Order`. I took the opportunity to generalise them. This is a followup to leanprover-community/mathlib#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated and the move-only part of #11863.
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May 17, 2024
Parity of elements in a group/ring is a basic algebraic concept, but it currently requires importing a bunch of algebraic order theory. As a consequence, `Algebra.Parity` currently holds a bunch of lemmas that really belong in earlier files but cannot due to import cycles. This PR moves the content of `Algebra.Parity` to * `Algebra.Group.Even` for the definition of `IsSquare` and `Even` * `Algebra.Ring.Parity` for the definition of `Odd` and ring properties of `Even` * `Algebra.Order.Group.Abs`, `Algebra.Order.Ring.Abs`, `Algebra.Order.Ring.Canonical`, `Algebra.Order.Sub.Canonical`, `Algebra.GroupPower.Order` for the various algebraic order properties of `Even` and `Odd` As a result, `Even`/`Odd` are available much more widely without awkward dependencies and algebraic order lemmas are now in the correct files. The only slight downfall is that two lemmas in `Algebra.Ring.Parity` are stated using `Set.range`, hence I had to weaken a few `assert_not_exists` to forbidding `Data.Set.Basic` instead of `Data.Set.Defs`. This is inconsequential. A side-effect of this PR is that I had to move some `bit0`/`bit1` lemmas. I could not find anywhere sensible to put them, so I am currently keeping them in `Algebra.Parity`. As a result, I had to reprove a few lemmas in `Algebra.GroupPower.Order`. I took the opportunity to generalise them. This is a followup to leanprover-community/mathlib#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated and the move-only part of #11863.
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This PR takes the stance that
algebra.parityis a basic pure algebra file, and thus moves all thezpowmaterial toalgebra.field.basicandalgebra.order.field.power, and theirreduciblematerial toalgebra.associated.