Theorems · Theorem · ring theory
Unitization.inrNonUnitalStarAlgHom_apply
∀ (R : Type u_1) (A : Type u_2) [inst : CommSemiring R] [inst_1 : StarAddMonoid R] [inst_2 : NonUnitalSemiring A] [inst_3 : Star A] [inst_4 : Module R A] (a : A), (Unitization.inrNonUnitalStarAlgHom R A) a = ↑a
- Defined in
- Mathlib.Algebra.Algebra.Unitization
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Starstatement and proof · cited by 496
- NonUnitalSemiringstatement and proof · cited by 339
- StarAddMonoidstatement and proof · cited by 296
- Unitizationstatement · cited by 220
- NonUnitalStarAlgHomstatement · cited by 208
- Unitization.inrstatement · cited by 109
- Unitization.inrNonUnitalStarAlgHomstatement and proof · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- Unitization.cfcₙ_eq_cfc_inrproof · cited by 3
- inrNonUnitalStarAlgHom_comp_cfcₙHom_eq_cfcₙAuxproof · cited by 2
- NonUnitalStarAlgHom.nnnorm_apply_leproof · cited by 2
- cfcₙAux_mem_range_inrproof · cited by 1
- Unitization.starMap_compproof · cited by 0
- Unitization.starMap_idproof · cited by 0