Theorems · Theorem · linear algebra
Matrix.trace_units_conj
∀ {m : Type u_2} {R : Type u_6} [inst : Fintype m] [inst_1 : DecidableEq m] [inst_2 : CommSemiring R]
(M : (Matrix m m R)ˣ) (N : Matrix m m R), (↑M * N * ↑M⁻¹).trace = N.trace- Defined in
- Mathlib.LinearAlgebra.Matrix.Trace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Matrix.tracestatement and proof · cited by 114
- Units.inv_mulproof · cited by 46
- Matrix.trace_mul_cycleproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.trace_units_conj'proof · cited by 1
- Matrix.trace_conjproof · cited by 0