Theorems · Definition · linear algebra
Matrix.reindex
{l : Type u_1} →
{m : Type u_2} → {n : Type u_3} → {o : Type u_4} → {α : Type v} → m ≃ l → n ≃ o → Matrix m n α ≃ Matrix l o αThe natural map that reindexes a matrix's rows and columns with equivalent types is an equivalence.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 102 results in Mathlib
- Foundations
- Depth 17 from the axioms, rests on 65 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- Equiv.symmproof · cited by 3,681
- Matrix.submatrixproof · cited by 183
Cited by110
Results whose statement or proof uses this declaration.
- Matrix.det_reindex_selfstatement · cited by 22
- Matrix.reindexAddEquivproof · cited by 8
- Matrix.reindex_applystatement · cited by 8
- Algebra.embeddingsMatrixReindexproof · cited by 6
- CoxeterMatrix.reindexproof · cited by 6
- Matrix.mul_eq_one_comm_of_equivproof · cited by 4
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisproof · cited by 4
- Matrix.kroneckerMap_diagonal_leftstatement · cited by 3
- Matrix.lift_cRank_submatrixproof · cited by 3
- Matrix.reindexLieEquivproof · cited by 3
- NumberField.mixedEmbedding.matrixToStdBasisproof · cited by 3
- Matrix.diagonal_kroneckerstatement · cited by 3