[Merged by Bors] - chore: Delete Algebra.Parity#11863
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[Merged by Bors] - chore: Delete Algebra.Parity#11863YaelDillies wants to merge 29 commits intomasterfrom
Algebra.Parity#11863YaelDillies wants to merge 29 commits intomasterfrom
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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/mathlib3#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated
Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com>
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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/mathlib3#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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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/mathlib3#17391 motivated by https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Mathlib.2EAlgebra.2EAssociated and the move-only part of #11863.
grunweg
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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/mathlib3#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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#12829 made `Algebra.Parity` almost empty. This PR deletes it.
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callesonne
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Jun 4, 2024
#12829 made `Algebra.Parity` almost empty. This PR deletes it.
js2357
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Jun 18, 2024
#12829 made `Algebra.Parity` almost empty. This PR deletes it.
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#12829 made
Algebra.Parityalmost empty. This PR deletes it.