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Theorems · Theorem · group theory

Matrix.ProjGenLinGroup.map_id

∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R],
  Matrix.ProjGenLinGroup.map (RingHom.id R) = MonoidHom.id (Matrix.ProjGenLinGroup n R)
Defined in
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Projective
Cited by
0 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeDecidableEqCommRing
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Around this declaration

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RingHom.id · cited by 18349RingHom.idCommRing · cited by 17173CommRingFintype · cited by 7736FintypeMonoidHom · cited by 3629MonoidHomEq.le · cited by 605Eq.leMatrix.GeneralLinearGroup · cited by 556Matrix.GeneralLinearGroupMonoidHom.id · cited by 323MonoidHom.idSubgroup.center · cited by 121Subgroup.centerMatrix.ProjGenLinGroup · cited by 23Matrix.ProjGenLinGroupSubgroup.comap_id · cited by 3Subgroup.comap_idMatrix.ProjGenLinGroup.map · cited by 3ProjGenLinGroup.mapQuotientGroup.map_id · cited by 1QuotientGroup.map_idProjGenLinGroup.map_idCITED BYCITES

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