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chore(*): add mathlib4 synchronization comments (#17736)
Regenerated from the [port status wiki page](https://github.com/leanprover-community/mathlib/wiki/mathlib4-port-status). Relates to the following PRs: * `algebra.group.semiconj`: leanprover-community/mathlib4#717 * `algebra.group_with_zero.basic`: leanprover-community/mathlib4#669 * `algebra.group_with_zero.inj_surj`: leanprover-community/mathlib4#722 * `algebra.ring.inj_surj`: leanprover-community/mathlib4#734 * `algebra.ring.units`: leanprover-community/mathlib4#746 * `data.finite.defs`: leanprover-community/mathlib4#698 * `order.lattice`: leanprover-community/mathlib4#642
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src/algebra/group/semiconj.lean

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/-!
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# Semiconjugate elements of a semigroup
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/717
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> Any changes to this file require a corresponding PR to mathlib4.
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## Main definitions
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We say that `x` is semiconjugate to `y` by `a` (`semiconj_by a x y`), if `a * x = y * a`.

src/algebra/group_with_zero/basic.lean

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/-!
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# Groups with an adjoined zero element
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/669
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> Any changes to this file require a corresponding PR to mathlib4.
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This file describes structures that are not usually studied on their own right in mathematics,
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namely a special sort of monoid: apart from a distinguished “zero element” they form a group,
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or in other words, they are groups with an adjoined zero element.

src/algebra/group_with_zero/inj_surj.lean

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/-!
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# Lifting groups with zero along injective/surjective maps
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/722
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> Any changes to this file require a corresponding PR to mathlib4.
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-/
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open function

src/algebra/ring/inj_surj.lean

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/-!
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# Pulling back rings along injective maps, and pushing them forward along surjective maps.
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/734
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> Any changes to this file require a corresponding PR to mathlib4.
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-/
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universes u v w x
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variables {α : Type u} {β : Type v} {γ : Type w} {R : Type x}

src/algebra/ring/units.lean

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/-!
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# Units in semirings and rings
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/746
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> Any changes to this file require a corresponding PR to mathlib4.
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-/
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universes u v w x
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variables {α : Type u} {β : Type v} {γ : Type w} {R : Type x}

src/data/finite/defs.lean

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/-!
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# Definition of the `finite` typeclass
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/698
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> Any changes to this file require a corresponding PR to mathlib4.
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This file defines a typeclass `finite` saying that `α : Sort*` is finite. A type is `finite` if it
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is equivalent to `fin n` for some `n`. We also define `infinite α` as a typeclass equivalent to
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`¬finite α`.

src/order/lattice.lean

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/-!
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# (Semi-)lattices
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> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
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> https://github.com/leanprover-community/mathlib4/pull/642
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> Any changes to this file require a corresponding PR to mathlib4.
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Semilattices are partially ordered sets with join (greatest lower bound, or `sup`) or
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meet (least upper bound, or `inf`) operations. Lattices are posets that are both
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join-semilattices and meet-semilattices.

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