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[Merged by Bors] - feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons#21511

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linind_restrict
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[Merged by Bors] - feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons#21511
apnelson1 wants to merge 2 commits intomasterfrom
linind_restrict

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@apnelson1 apnelson1 commented Feb 6, 2025

We add simp lemmas for linear independence in the trivial cases where either the domain or codomain is a Subsingleton, or the function is zero.


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github-actions bot commented Feb 6, 2025

PR summary 92213e873c

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ linearIndependent_subsingleton_iff
+ linearIndependent_subsingleton_index_iff
+ linearIndependent_zero_iff

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).

@github-actions github-actions bot added the t-algebra Algebra (groups, rings, fields, etc) label Feb 6, 2025
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Thanks 🎉

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 6, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 6, 2025
…etons (#21511)

We add simp lemmas for linear independence in the trivial cases where either the domain or codomain is a `Subsingleton`, or the function is zero.
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mathlib-bors bot commented Feb 6, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons [Merged by Bors] - feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons Feb 6, 2025
@mathlib-bors mathlib-bors bot closed this Feb 6, 2025
@mathlib-bors mathlib-bors bot deleted the linind_restrict branch February 6, 2025 17:53
Julian added a commit that referenced this pull request Feb 7, 2025
* origin/master:
  chore: update Mathlib dependencies 2025-02-06 (#21523)
  fix(MathlibTest/TransImports): stop inspecting the `Lean` package (#21492)
  style(Mathlib/Computability/Halting): `RePred` to `REPred` (#21216)
  feat(Data/Set/Card): add `ncard_le_encard` (#21467)
  feat(Order): lemmas for `Order.succ` and `Order.pred` in `Fin` (#21437)
  feat(LinearAlgebra/LinearIndependent): linear independence + subsingletons (#21511)
  feat: for continuous linear maps in a normed ring, `flip mul = mul` (#21507)
  chore(GroupTheory/Commutator): don't import `Ring` (#21296)
  chore(Data/Complex/Abs): add `protected` to results that already exists in root namespace (#21454)
  chore(*): `erw`s that can now become `rw`s (#21510)
  chore: allow create-adaptation-pr.sh to continue when bump branch already exists (#21486)
  feat(CategoryTheory): equivalence between `Ind C` and left exact functors from `C` to `Type` (#21430)
  chore: add test to TCSynth.lean (#21499)
  feat: the category of ind-objects satisfies the AB5 axiom (#21350)
  refactor(RepresentationTheory): `ConcreteCategory` instances for `Rep` (#21465)
  chore: split Mathlib.Order.Filter.Basic (#21403)
  chore: update Mathlib dependencies 2025-02-06 (#21487)
  chore(Cache): Add support for $MATHLIB_CACHE_DIR (#21480)
  feat(CategoryTheory): a closed monoidal category is an ordinary enriched category over itself (#21436)
  feat(AlgebraicTopology): notation X ^[n] for cosimplicial objects (#21485)
  chore: upgrade dependencies manually (#21484)
  refactor(Analysis/Normed): `ConcreteCategory` refactor for `SemiNormedGrp` (#21477)
  refactor(LinearAlgebra): `ConcreteCategory` instance for `QuadraticModuleCat` (#21471)
  refactor(MeasureTheory): `ConcreteCategory` instance for `MeasCat` (#21468)
  refactor(Topology/Category): clean up remaining uses of `HasForget` (#21458)
  refactor(CategoryTheory): `ConcreteCategory` instances for pointed types (#21470)
  feat(CategoryTheory/Action): `ConcreteCategory` instances for `Action` (#21462)
  feat(CategoryTheory): `ConcreteCategory` instance for `DifferentialObject` (#21464)
  feat(Analysis/Normed/Group/SeparationQuotient): add normed lifts and `mk` (#18178)
  chore: rename `encard_le_card` to `encard_le_encard` (#21426)
  feat: add theorem about the norm of cross products (#20920)
  feat(Data/Matroid/Circuit): circuit elimination and finitary matroids (#21172)
  feat(LinearAlgebra/ExteriorPower): add iMulti_family definition for product of a family of vectors (#21397)
pfaffelh pushed a commit that referenced this pull request Feb 7, 2025
…etons (#21511)

We add simp lemmas for linear independence in the trivial cases where either the domain or codomain is a `Subsingleton`, or the function is zero.
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