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[Merged by Bors] - chore(*): add mathlib4 synchronization comments #18623

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3 changes: 3 additions & 0 deletions src/algebra/dual_number.lean
Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,9 @@ import algebra.triv_sq_zero_ext
/-!
# Dual numbers

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

The dual numbers over `R` are of the form `a + bε`, where `a` and `b` are typically elements of a
commutative ring `R`, and `ε` is a symbol satisfying `ε^2 = 0`. They are a special case of
`triv_sq_zero_ext R M` with `M = R`.
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3 changes: 3 additions & 0 deletions src/data/finsupp/well_founded.lean
Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,9 @@ import data.finsupp.lex
/-!
# Well-foundedness of the lexicographic and product orders on `finsupp`

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

`finsupp.lex.well_founded` and the two variants that follow it essentially say that if
`(>)` is a well order on `α`, `(<)` is well-founded on `N`, and `0` is a bottom element in `N`,
then the lexicographic `(<)` is well-founded on `α →₀ N`.
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3 changes: 3 additions & 0 deletions src/data/nat/multiplicity.lean
Original file line number Diff line number Diff line change
Expand Up @@ -14,6 +14,9 @@ import ring_theory.multiplicity
/-!
# Natural number multiplicity

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

This file contains lemmas about the multiplicity function (the maximum prime power dividing a
number) when applied to naturals, in particular calculating it for factorials and binomial
coefficients.
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3 changes: 3 additions & 0 deletions src/data/polynomial/div.lean
Original file line number Diff line number Diff line change
Expand Up @@ -11,6 +11,9 @@ import ring_theory.multiplicity
/-!
# Division of univariate polynomials

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

The main defs are `div_by_monic` and `mod_by_monic`.
The compatibility between these is given by `mod_by_monic_add_div`.
We also define `root_multiplicity`.
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3 changes: 3 additions & 0 deletions src/data/zmod/algebra.lean
Original file line number Diff line number Diff line change
Expand Up @@ -9,6 +9,9 @@ import algebra.algebra.basic

/-!
# The `zmod n`-algebra structure on rings whose characteristic divides `n`

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
-/

namespace zmod
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3 changes: 3 additions & 0 deletions src/data/zmod/parity.lean
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Expand Up @@ -8,6 +8,9 @@ import data.zmod.basic
/-!
# Relating parity to natural numbers mod 2

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

This module provides lemmas relating `zmod 2` to `even` and `odd`.

## Tags
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3 changes: 3 additions & 0 deletions src/ring_theory/ideal/idempotent_fg.lean
Original file line number Diff line number Diff line change
Expand Up @@ -8,6 +8,9 @@ import ring_theory.finiteness

/-!
## Lemmas on idempotent finitely generated ideals

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
-/

namespace ideal
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3 changes: 3 additions & 0 deletions src/ring_theory/mv_polynomial/symmetric.lean
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,9 @@ import algebra.algebra.subalgebra.basic
/-!
# Symmetric Polynomials and Elementary Symmetric Polynomials

> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.

This file defines symmetric `mv_polynomial`s and elementary symmetric `mv_polynomial`s.
We also prove some basic facts about them.

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