Theorems · Theorem · commutative algebra
Subring.centerToMulOpposite_symm_apply_coe
∀ {R : Type u} [inst : NonAssocRing R] (r : ↥(Subsemigroup.center Rᵐᵒᵖ)),
↑(Subring.centerToMulOpposite.symm r) = MulOpposite.unop ↑r- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
Around this declaration
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Cites11
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
- RingEquivstatement · cited by 1,147
- MulOppositestatement and proof · cited by 1,135
- Subringstatement · cited by 602
- RingEquiv.symmstatement and proof · cited by 567
- NonAssocRingstatement and proof · cited by 483
- Subsemigroupstatement · cited by 323
- MulOpposite.unopstatement · cited by 268
- Subsemigroup.centerstatement and proof · cited by 38
- Subring.centerstatement · cited by 28
- Subring.centerToMulOppositestatement and proof · cited by 2
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