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[Merged by Bors] - feat(Analysis): cos (n * π) = (-1) ^ n#31971

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[Merged by Bors] - feat(Analysis): cos (n * π) = (-1) ^ n#31971
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wwylele:cos-int-mul-pi

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@wwylele wwylele commented Nov 22, 2025

Two short lemma to make it easier to rewrite


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wwylele commented Nov 22, 2025

easy

@github-actions github-actions bot added the easy < 20s of review time. See the lifecycle page for guidelines. label Nov 22, 2025
@github-actions github-actions bot added the t-analysis Analysis (normed *, calculus) label Nov 22, 2025
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PR summary 16e4c581cf

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ cos_int_mul_pi
+ cos_nat_mul_pi

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

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bors merge

mathlib-bors bot pushed a commit that referenced this pull request Nov 22, 2025
Two short lemma to make it easier to rewrite
@ghost ghost added the ready-to-merge This PR has been sent to bors. label Nov 22, 2025
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mathlib-bors bot commented Nov 22, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Analysis): cos (n * π) = (-1) ^ n [Merged by Bors] - feat(Analysis): cos (n * π) = (-1) ^ n Nov 22, 2025
@mathlib-bors mathlib-bors bot closed this Nov 22, 2025
@wwylele wwylele deleted the cos-int-mul-pi branch November 23, 2025 00:00
alok added a commit to alok/mathlib4 that referenced this pull request Mar 17, 2026
…lib4

* 'master' of https://github.com/leanprover-community/mathlib4: (3130 commits)
  feat(SetTheory/ZFC): add `ZFSet.card` (leanprover-community#29365)
  feat: grind annotations for `choose_spec` (leanprover-community#31927)
  chore(scripts): update nolints.json (leanprover-community#31975)
  feat(Analysis): cos (n * π) = (-1) ^ n (leanprover-community#31971)
  chore: rename `mul_le_mul_right'` to `mul_le_mul_left` (leanprover-community#30242)
  chore: update Mathlib dependencies 2025-11-22 (leanprover-community#31955)
  feat(MeasureTheory): ae-measurability notation wrt non-standard sigma-algebra (leanprover-community#31910)
  doc: add missing spaces around doc code blocks (leanprover-community#31917)
  chore: update Mathlib dependencies 2025-11-22 (leanprover-community#31945)
  chore: shortcut instance for `Nat` to be mul-torsion-free (leanprover-community#31027)
  doc(Topology/Algebra/Algebra): outdated TODO (leanprover-community#31944)
  feat(EqHaar): add `addHaar_nnreal_smul` (leanprover-community#31922)
  chore(Algebra): make invertibleInv an instance (leanprover-community#31916)
  chore(Algebra): change two statements in CubicDiscriminant (leanprover-community#31912)
  chore(MeasureTheory): mark `map_dirac`  as simp (leanprover-community#31909)
  feat: `LinearOrder` instance for `Empty` (leanprover-community#31889)
  chore: deprecate all remaining modules in `Analysis/NormedSpace` (leanprover-community#31913)
  feat(SimpleGraph): weaker condition for paths in acyclic graphs (leanprover-community#25814)
  chore: do not set `group` when declaring option (leanprover-community#31888)
  chore: clean up more unused `Decidable*` instances in types (leanprover-community#31934)
  ...
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