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Theorems · Theorem · linear algebra

Matrix.diag_single_same

∀ {n : Type u_3} {α : Type u_7} [inst : DecidableEq n] [inst_1 : Zero α] (i : n) (c : α),
  (Matrix.single i i c).diag = Pi.single i c
Defined in
Mathlib.Data.Matrix.Basis
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
DecidableEqZero
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.trace_single_eq_same · cited by 2Matrix.trace_single_eq_sa…Pi.single · cited by 518Pi.singlePi.single_eq_same · cited by 144Pi.single_eq_sameMatrix.single · cited by 129Matrix.singleMatrix.diag · cited by 61Matrix.diagPi.single_eq_of_ne' · cited by 33Pi.single_eq_of_ne'Matrix.single_apply_of_ne · cited by 16Matrix.single_apply_of_neMatrix.single_apply_same · cited by 16Matrix.single_apply_sameMatrix.diag_single_sameCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.