Theorems · Theorem · linear algebra
Matrix.transpose_inj
∀ {m : Type u_2} {n : Type u_3} {α : Type v} {A B : Matrix m n α}, A.transpose = B.transpose ↔ A = B- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Matrix.transposestatement · cited by 389
- Matrix.transpose_injectiveproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.transpose_eq_zeroproof · cited by 0
- Matrix.transpose_mem_unitaryGroup_iffproof · cited by 0