Theorems · Theorem · ring theory
StarRingEquiv.ofStarRingHom_apply
∀ {F : Type u_1} {G : Type u_2} {A : Type u_3} {B : Type u_4} [inst : NonUnitalNonAssocSemiring A] [inst_1 : Star A]
[inst_2 : NonUnitalNonAssocSemiring B] [inst_3 : Star B] [inst_4 : FunLike F A B]
[inst_5 : NonUnitalRingHomClass F A B] [inst_6 : NonUnitalStarRingHomClass F A B] [inst_7 : FunLike G B A] (f : F)
(g : G) (h₁ : ∀ (x : A), g (f x) = x) (h₂ : ∀ (x : B), f (g x) = x) (a : A),
(StarRingEquiv.ofStarRingHom f g h₁ h₂) a = f a- Defined in
- Mathlib.Algebra.Star.StarRingHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
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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
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- Starstatement and proof · cited by 496
- NonUnitalRingHomClassstatement and proof · cited by 82
- StarRingEquivstatement · cited by 40
- NonUnitalStarRingHomClassstatement and proof · cited by 5
- StarRingEquiv.ofStarRingHomstatement and proof · cited by 2
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