Theorems · Definition · linear algebra
Matrix.transposeLinearEquiv
(m : Type u_2) →
(n : Type u_3) →
(R : Type u_7) →
(α : Type u_11) →
[inst : Semiring R] → [inst_1 : AddCommMonoid α] → [inst_2 : Module R α] → Matrix m n α ≃ₗ[R] Matrix n m αMatrix.transpose as a LinearMap
- Defined in
- Mathlib.Data.Matrix.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Matrixstatement and proof · cited by 4,303
- LinearEquivstatement · cited by 3,317
- AddEquivproof · cited by 1,087
- Equiv.toFunproof · cited by 279
- AddEquiv.toEquivproof · cited by 174
- Equiv.invFunproof · cited by 163
- Matrix.transposeAddEquivproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.transposeLinearEquiv_applystatement and proof · cited by 0
- Matrix.transposeLinearEquiv_symmstatement · cited by 0