Theorems · Theorem · linear algebra
Matrix.conjTransposeAlgEquiv_apply
∀ (n : Type u_3) {R : Type u_7} (α : Type v) [inst : Fintype n] [inst_1 : CommSemiring R] [inst_2 : StarRing R]
[inst_3 : TrivialStar R] [inst_4 : Semiring α] [inst_5 : StarRing α] [inst_6 : Algebra R α] [inst_7 : StarModule R α]
(a : Matrix n n α), (Matrix.conjTransposeAlgEquiv n α) a = MulOpposite.op a.conjTranspose- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- StarRingstatement and proof · cited by 1,686
- MulOppositestatement · cited by 1,135
- StarModulestatement and proof · cited by 570
- MulOpposite.opstatement · cited by 520
- Matrix.conjTransposestatement · cited by 202
- StarAlgEquivstatement · cited by 132
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