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Theorems · Theorem · linear algebra

Matrix.trace_transpose

∀ {n : Type u_3} {R : Type u_6} [inst : Fintype n] [inst_1 : AddCommMonoid R] (A : Matrix n n R),
  A.transpose.trace = A.trace
Defined in
Mathlib.LinearAlgebra.Matrix.Trace
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
FintypeAddCommMonoid
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Around this declaration

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

Matrix.trace_mul_comm · cited by 5Matrix.trace_mul_commAddCommMonoid · cited by 12281AddCommMonoidFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMatrix.transpose · cited by 389Matrix.transposeMatrix.trace · cited by 114Matrix.traceMatrix.trace_transposeCITED BYCITES

Cites5

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Cited by1

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