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Theorems · Theorem · linear algebra

Matrix.trace_sub

∀ {n : Type u_3} {R : Type u_6} [inst : Fintype n] [inst_1 : AddCommGroup R] (A B : Matrix n n R),
  (A - B).trace = A.trace - B.trace
Defined in
Mathlib.LinearAlgebra.Matrix.Trace
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
FintypeAddCommGroup
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Around this declaration

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

LieAlgebra.matrix_trace_commutator_zero · cited by 0LieAlgebra.matrix_trace_c…AddCommGroup · cited by 12871AddCommGroupFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMatrix.trace · cited by 114Matrix.traceFinset.sum_sub_distrib · cited by 84Finset.sum_sub_distribMatrix.trace_subCITED BYCITES

Cites5

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Cited by1

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