Theorems · Theorem · linear algebra
Matrix.conjTranspose_swap
∀ {n : Type u_2} [inst : DecidableEq n] {R : Type u_3} [inst_1 : NonAssocSemiring R] [inst_2 : StarRing R] (i j : n),
(Matrix.swap R i j).conjTranspose = Matrix.swap R i j- Defined in
- Mathlib.LinearAlgebra.Matrix.Swap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- StarRingstatement and proof · cited by 1,686
- NonAssocSemiringstatement and proof · cited by 805
- Matrix.conjTransposestatement · cited by 202
- Equiv.swapproof · cited by 197
- Equiv.Perm.permMatrixproof · cited by 25
- Matrix.swapstatement · cited by 19
- Matrix.conjTranspose_permMatrixproof · cited by 1
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