Mathlib Map

Theorems · Definition · ring theory

NonUnitalStarAlgHom.range

{F : Type v'} →
  {R : Type u} →
    {A : Type v} →
      {B : Type w} →
        [inst : CommSemiring R] →
          [inst_1 : NonUnitalNonAssocSemiring A] →
            [inst_2 : Module R A] →
              [inst_3 : Star A] →
                [inst_4 : NonUnitalNonAssocSemiring B] →
                  [inst_5 : Module R B] →
                    [inst_6 : Star B] →
                      [inst_7 : FunLike F A B] →
                        [NonUnitalAlgHomClass F R A B] → [StarHomClass F A B] → F → NonUnitalStarSubalgebra R B

Range of an NonUnitalAlgHom as a NonUnitalStarSubalgebra.

Defined in
Mathlib.Algebra.Star.NonUnitalSubalgebra
Cited by
24 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringNonUnitalNonAssocSemiringModuleStarNonUnitalNonAssocSemiringModuleStarFunLikeNonUnitalAlgHomClassStarHomClass

Around this declaration

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

Unitization.inrRangeEquiv · cited by 4Unitization.inrRangeEquivNonUnitalStarAlgHom.coe_range · cited by 3NonUnitalStarAlgHom.coe_r…RCLike.nonUnitalContinuousFunctionalCalculus · cited by 2RCLike.nonUnitalContinuou…StarAlgEquiv.ofLeftInverse' · cited by 2StarAlgEquiv.ofLeftInvers…NonUnitalStarAlgebra.map_top · cited by 2NonUnitalStarAlgebra.map_…range_cfcₙHom_le · cited by 2range_cfcₙHom_lerange_cfcₙ_eq_range_cfcₙHom · cited by 2range_cfcₙ_eq_range_cfcₙH…Unitization.inrRangeEquiv_symm_apply · cited by 1Unitization.inrRangeEquiv…Unitization.starLift_range · cited by 1Unitization.starLift_rangeUnitization.starLift_range_le · cited by 1Unitization.starLift_rang…StarAlgEquiv.ofInjective' · cited by 1StarAlgEquiv.ofInjective'range_cfcₙHom · cited by 1range_cfcₙHomcfcₙAux_mem_range_inr · cited by 1cfcₙAux_mem_range_inrrange_cfcₙ_subset · cited by 1range_cfcₙ_subsetNonUnitalStarAlgHom.mem_range · cited by 0NonUnitalStarAlgHom.mem_r…Module · cited by 20661ModuleCommSemiring · cited by 10911CommSemiringFunLike · cited by 2560FunLikeNonUnitalNonAssocSemiring · cited by 1081NonUnitalNonAssocSemiringStar · cited by 496StarNonUnitalSubalgebra · cited by 215NonUnitalSubalgebraNonUnitalStarSubalgebra · cited by 196NonUnitalStarSubalgebraStarHomClass · cited by 76StarHomClassNonUnitalAlgHomClass · cited by 75NonUnitalAlgHomClassNonUnitalAlgHom.range · cited by 12NonUnitalAlgHom.rangeNonUnitalAlgHomClass.toNonUnitalAlgHom · cited by 9NonUnitalAlgHomClass.toNo…NonUnitalStarAlgHom.rangeCITED BYCITES

Cites11

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

Cited by28

Results whose statement or proof uses this declaration.