Theorems · Theorem · linear algebra
Matrix.conjTranspose_inj
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : InvolutiveStar α] {A B : Matrix m n α},
A.conjTranspose = B.conjTranspose ↔ A = B- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- InvolutiveStar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.conjTransposestatement · cited by 202
- InvolutiveStarstatement and proof · cited by 52
- Matrix.conjTranspose_injectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_eq_zeroproof · cited by 1
- Matrix.isSymm_iff_intrinsicStar_toLin'proof · cited by 0