Theorems · Theorem · linear algebra
Matrix.trace_one
∀ {n : Type u_3} {R : Type u_6} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : AddCommMonoidWithOne R],
Matrix.trace 1 = ↑(Fintype.card n)- Defined in
- Mathlib.LinearAlgebra.Matrix.Trace
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Finset.univproof · cited by 3,473
- Finset.cardproof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Fintype.cardstatement and proof · cited by 1,386
- Finset.sum_constproof · cited by 254
- Matrix.tracestatement · cited by 114
- AddCommMonoidWithOnestatement and proof · cited by 42
- nsmul_oneproof · cited by 34
- Matrix.diag_oneproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- LinearMap.trace_oneproof · cited by 4
- Rat.numberField_discrproof · cited by 2