Theorems · Theorem · linear algebra
Matrix.symm_reindexLinearEquiv
∀ {m : Type u_2} {n : Type u_3} {m' : Type u_6} {n' : Type u_7} (R : Type u_11) (A : Type u_12) [inst : Semiring R]
[inst_1 : AddCommMonoid A] [inst_2 : Module R A] (eₘ : m ≃ m') (eₙ : n ≃ n'),
(Matrix.reindexLinearEquiv R A eₘ eₙ).symm = Matrix.reindexLinearEquiv R A eₘ.symm eₙ.symm- Defined in
- Mathlib.LinearAlgebra.Matrix.Reindex
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- Matrixstatement · cited by 4,303
- Equiv.symmstatement · cited by 3,681
- LinearEquivstatement · cited by 3,317
- LinearEquiv.symmstatement · cited by 1,461
- Matrix.reindexLinearEquivstatement · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.reindexLinearEquiv_symmproof · cited by 0