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 BRange 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
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.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalSubalgebraproof · cited by 215
- NonUnitalStarSubalgebrastatement · cited by 196
- StarHomClassstatement and proof · cited by 76
- NonUnitalAlgHomClassstatement and proof · cited by 75
- NonUnitalAlgHom.rangeproof · cited by 12
- NonUnitalAlgHomClass.toNonUnitalAlgHomproof · cited by 9
Cited by28
Results whose statement or proof uses this declaration.
- Unitization.inrRangeEquivstatement · cited by 4
- NonUnitalStarAlgHom.coe_rangestatement and proof · cited by 3
- RCLike.nonUnitalContinuousFunctionalCalculusproof · cited by 2
- StarAlgEquiv.ofLeftInverse'statement and proof · cited by 2
- NonUnitalStarAlgebra.map_topstatement and proof · cited by 2
- range_cfcₙHom_lestatement · cited by 2
- range_cfcₙ_eq_range_cfcₙHomstatement and proof · cited by 2
- Unitization.inrRangeEquiv_symm_applystatement and proof · cited by 1
- Unitization.starLift_rangestatement and proof · cited by 1
- Unitization.starLift_range_lestatement and proof · cited by 1
- StarAlgEquiv.ofInjective'statement · cited by 1
- range_cfcₙHomstatement · cited by 1