Theorems · Theorem · ring theory
StarAlgEquiv.ofAlgEquiv_apply
∀ {R : Type u_6} {A : Type u_7} {B : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : Star A] [inst_6 : Star B] (f : A ≃ₐ[R] B)
(map_star : ∀ (x : A), f (star x) = star (f x)) (x : A), (StarAlgEquiv.ofAlgEquiv f map_star) x = f x- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 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.
- 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
- AlgEquivstatement and proof · cited by 1,681
- Star.starstatement and proof · cited by 1,082
- Starstatement and proof · cited by 496
- StarAlgEquivstatement · cited by 132
- StarAlgEquiv.ofAlgEquivstatement · cited by 4
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