Theorems · Theorem · linear algebra
Matrix.trace_zero
∀ (n : Type u_3) (R : Type u_6) [inst : Fintype n] [inst_1 : AddCommMonoid R], Matrix.trace 0 = 0
- Defined in
- Mathlib.LinearAlgebra.Matrix.Trace
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- FintypeAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- smul_zeroproof · cited by 665
- Finset.sum_constproof · cited by 254
- Matrix.tracestatement · cited by 114
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.traceAddMonoidHomproof · cited by 4