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Theorems · Definition · linear algebra

Matrix.permMatrixHom

{n : Type u_1} →
  {R : Type u_2} →
    [inst : DecidableEq n] → [inst_1 : Fintype n] → [inst_2 : NonAssocSemiring R] → Equiv.Perm n →* Matrix n n R

permMatrix as a homomorphism.

Defined in
Mathlib.LinearAlgebra.Matrix.Permutation
Cited by
1 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqFintypeNonAssocSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Matrix.permMatrixHom_apply · cited by 0Matrix.permMatrixHom_applyFintype · cited by 7736FintypeMatrix · cited by 4303MatrixMonoidHom · cited by 3629MonoidHomEquiv.Perm · cited by 1375Equiv.PermNonAssocSemiring · cited by 805NonAssocSemiringEquiv.Perm.permMatrix · cited by 25Perm.permMatrixMatrix.permMatrixHomCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.