Theorems · Theorem · ring theory
StarAlgEquiv.toNonUnitalStarAlgHom_apply
∀ {R : Type u_1} {A₁ : Type u_2} {A₂ : Type u_3} [inst : Monoid R] [inst_1 : NonUnitalNonAssocSemiring A₁]
[inst_2 : DistribMulAction R A₁] [inst_3 : Star A₁] [inst_4 : NonUnitalNonAssocSemiring A₂]
[inst_5 : DistribMulAction R A₂] [inst_6 : Star A₂] (e : A₁ ≃⋆ₐ[R] A₂) (a : A₁), e.toNonUnitalStarAlgHom a = e a- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Monoidstatement and proof · cited by 3,887
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- NonUnitalStarAlgHomstatement · cited by 208
- StarAlgEquivstatement and proof · cited by 132
- StarAlgEquiv.toNonUnitalStarAlgHomstatement and proof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- StarAlgEquiv.arrowCongr'_compproof · cited by 0