Theorems · Theorem · ring theory
RingEquiv.toOpposite_symm_apply
∀ (R : Type u_4) [inst : NonUnitalCommSemiring R] (r : Rᵐᵒᵖ), (RingEquiv.toOpposite R).symm r = MulOpposite.unop r
- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses Quot.sound
- Assumes
- NonUnitalCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- RingEquiv.symmstatement · cited by 567
- MulOpposite.unopstatement · cited by 268
- NonUnitalCommSemiringstatement and proof · cited by 29
- RingEquiv.toOppositestatement · cited by 3
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