Mathlib Map

Theorems · Definition · linear algebra

Matrix.traceAddMonoidHom

(n : Type u_3) → (R : Type u_6) → [Fintype n] → [inst : AddCommMonoid R] → Matrix n n R →+ R

Matrix.trace as an AddMonoidHom

Defined in
Mathlib.LinearAlgebra.Matrix.Trace
Cited by
4 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
FintypeAddCommMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.trace_list_sum · cited by 0Matrix.trace_list_sumMatrix.trace_sum · cited by 0Matrix.trace_sumMatrix.traceAddMonoidHom_apply · cited by 0Matrix.traceAddMonoidHom_…Matrix.trace_multiset_sum · cited by 0Matrix.trace_multiset_sumAddCommMonoid · cited by 12281AddCommMonoidFintype · cited by 7736FintypeMatrix · cited by 4303MatrixAddMonoidHom · cited by 3230AddMonoidHomMatrix.trace · cited by 114Matrix.traceMatrix.trace_add · cited by 1Matrix.trace_addMatrix.trace_zero · cited by 0Matrix.trace_zeroMatrix.traceAddMonoidHomCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.