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Theorems · Theorem · linear algebra

Matrix.transpose_map

∀ {m : Type u_2} {n : Type u_3} {α : Type v} {β : Type w} {f : α → β} {M : Matrix m n α},
  M.transpose.map f = (M.map f).transpose
Defined in
Mathlib.LinearAlgebra.Matrix.Defs
Cited by
8 results in Mathlib
Foundations
Depth 15 from the axioms · uses Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.IsHermitian.transpose · cited by 4IsHermitian.transposeMatrix.IsSymm.map · cited by 1IsSymm.mapLDL.diag_eq_lowerInv_conj · cited by 1LDL.diag_eq_lowerInv_conjAlgebra.traceMatrix_of_matrix_mulVec · cited by 1Algebra.traceMatrix_of_ma…Matrix.updateRow_conjTranspose · cited by 0Matrix.updateRow_conjTran…Matrix.isSymm_comp_iff · cited by 0Matrix.isSymm_comp_iffMatrix.isSymm_map_iff · cited by 0Matrix.isSymm_map_iffMatrix.updateCol_conjTranspose · cited by 0Matrix.updateCol_conjTran…Matrix · cited by 4303MatrixMatrix.transpose · cited by 389Matrix.transposeMatrix.map · cited by 247Matrix.mapMatrix.transpose_mapCITED BYCITES

Cites3

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Cited by8

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