Theorems · Definition · ring theory
NonUnitalSubring.centerToMulOpposite
{R : Type u} → [inst : NonUnitalNonAssocRing R] → ↥(NonUnitalSubring.center R) ≃+* ↥(NonUnitalSubring.center Rᵐᵒᵖ)The center of a (not necessarily unital or associative) ring is isomorphic to the center of its opposite.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingEquivstatement · cited by 1,147
- MulOppositestatement · cited by 1,135
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement · cited by 185
- NonUnitalSubring.centerstatement · cited by 13
- NonUnitalSubsemiring.centerToMulOppositeproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- NonUnitalSubring.centerToMulOpposite_apply_coestatement and proof · cited by 0
- NonUnitalSubring.centerToMulOpposite_symm_apply_coestatement and proof · cited by 0