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Theorems · Theorem · linear algebra

Matrix.transpose_swap

∀ {R : Type u_1} {n : Type u_2} [inst : Zero R] [inst_1 : One R] [inst_2 : DecidableEq n] (i j : n),
  (Matrix.swap R i j).transpose = Matrix.swap R i j
Defined in
Mathlib.LinearAlgebra.Matrix.Swap
Cited by
1 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ZeroOneDecidableEq
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Around this declaration

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

Matrix.isSymm_swap · cited by 0Matrix.isSymm_swapMatrix · cited by 4303MatrixMatrix.transpose · cited by 389Matrix.transposeEquiv.swap · cited by 197Equiv.swapEquiv.Perm.permMatrix · cited by 25Perm.permMatrixMatrix.swap · cited by 19Matrix.swapMatrix.transpose_permMatrix · cited by 2Matrix.transpose_permMatr…Matrix.transpose_swapCITED BYCITES

Cites6

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Cited by1

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