Theorems · Theorem · ring theory
StarAlgHom.ofId_apply
∀ (R : Type u_7) (A : Type u_8) [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A] [inst_3 : StarMul A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] (a : R), (StarAlgHom.ofId R A) a = (algebraMap R A) a
- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, 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.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement · cited by 4,706
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- StarAlgHomstatement · cited by 215
- StarMulstatement and proof · cited by 195
- StarAlgHom.ofIdstatement and proof · cited by 18
Cited by6
Results whose statement or proof uses this declaration.
- QuasispectrumRestricts.cfcproof · cited by 2
- QuasispectrumRestricts.cfcₙ_eq_restrictproof · cited by 2
- SpectrumRestricts.cfcproof · cited by 2
- SpectrumRestricts.cfc_eq_restrictproof · cited by 2
- SpectrumRestricts.isometric_cfcproof · cited by 0
- QuasispectrumRestricts.isometric_cfcproof · cited by 0