Theorems · Theorem · linear algebra
Matrix.symm_reindexAlgEquiv
∀ {m : Type u_2} {n : Type u_3} (R : Type u_11) (A : Type u_12) [inst : CommSemiring R] [inst_1 : Fintype n]
[inst_2 : Fintype m] [inst_3 : DecidableEq m] [inst_4 : DecidableEq n] [inst_5 : Semiring A] [inst_6 : Algebra R A]
(e : m ≃ n), (Matrix.reindexAlgEquiv R A e).symm = Matrix.reindexAlgEquiv R A e.symm- Defined in
- Mathlib.LinearAlgebra.Matrix.Reindex
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Equiv.symmstatement · cited by 3,681
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement · cited by 615
- Matrix.reindexAlgEquivstatement · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.reindexAlgEquiv_symmproof · cited by 0