Theorems · Theorem · ring theory
StarAlgEquiv.toNonUnitalStarAlgHom_comp
∀ {R : Type u_1} {A₁ : Type u_2} {A₂ : Type u_3} {A₃ : Type u_4} [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]
[inst_7 : NonUnitalNonAssocSemiring A₃] [inst_8 : DistribMulAction R A₃] [inst_9 : Star A₃] (e₁ : A₁ ≃⋆ₐ[R] A₂)
(e₂ : A₂ ≃⋆ₐ[R] A₃), e₂.toNonUnitalStarAlgHom.comp e₁.toNonUnitalStarAlgHom = (e₁.trans e₂).toNonUnitalStarAlgHom- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- NonUnitalStarAlgHom.compstatement · cited by 40
- StarAlgEquiv.transstatement · cited by 11
- StarAlgEquiv.toNonUnitalStarAlgHomstatement · cited by 9
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