Theorems · Theorem · ring theory
AlgEquiv.toRingEquiv_toOpposite
∀ (R : Type u_1) (A : Type u_3) [inst : CommSemiring R] [inst_1 : CommSemiring A] [inst_2 : Algebra R A], (AlgEquiv.toOpposite R A).toRingEquiv = RingEquiv.toOpposite A
- Defined in
- Mathlib.Algebra.Algebra.Opposite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingEquivstatement · cited by 1,147
- MulOppositestatement · cited by 1,135
- AlgEquiv.toRingEquivstatement · cited by 137
- AlgEquiv.toOppositestatement · cited by 6
- RingEquiv.toOppositestatement · cited by 3
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