[Merged by Bors] - feat(LinearAlgebra/ExteriorPower): add iMulti_family definition for product of a family of vectors#21397
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PR summary 2432c02d6cImport changes for modified filesNo significant changes to the import graph Import changes for all files
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Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
Co-authored-by: Oliver Nash <7734364+ocfnash@users.noreply.github.com>
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…roduct of a family of vectors (#21397) This splits the definition of `ιMulti_family` from PR #10654 along with a few basic lemmas that do not rely on other parts of the PR. The `ιMulti_family` definition allows taking the product of a subset of a family of vectors, which is useful when the number of vectors is different from the degree of the exterior power. In particular, this is useful for working with a collection of basis or spanning vectors.
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* 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)
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…roduct of a family of vectors (#21397) This splits the definition of `ιMulti_family` from PR #10654 along with a few basic lemmas that do not rely on other parts of the PR. The `ιMulti_family` definition allows taking the product of a subset of a family of vectors, which is useful when the number of vectors is different from the degree of the exterior power. In particular, this is useful for working with a collection of basis or spanning vectors.
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This splits the definition of
ιMulti_familyfrom PR #10654 along with a few basic lemmas that do not rely on other parts of the PR. TheιMulti_familydefinition allows taking the product of a subset of a family of vectors, which is useful when the number of vectors is different from the degree of the exterior power. In particular, this is useful for working with a collection of basis or spanning vectors.