Theorems · Theorem · linear algebra
Module.Basis.sumCoords_reindex
∀ {ι' : Type u_2} {ι : Type u_10} {R : Type u_11} {M : Type u_12} [inst : Semiring R] [inst_1 : AddCommMonoid M]
[inst_2 : Module R M] (b : Module.Basis ι R M) (e : ι ≃ ι'), (b.reindex e).sumCoords = b.sumCoords- Defined in
- Mathlib.LinearAlgebra.Basis.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
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- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Equivstatement and proof · cited by 8,337
- Module.Basisstatement and proof · cited by 1,477
- LinearMap.extproof · cited by 844
- Module.Basis.reprproof · cited by 498
- Finsupp.sumproof · cited by 481
- Module.Basis.reindexstatement · cited by 57
Cited by1
Results whose statement or proof uses this declaration.
- AffineBasis.coord_reindexproof · cited by 0