Theorems · Definition · ring theory
Subring.addEquivOp
{R : Type u_2} → [inst : NonAssocRing R] → (S : Subring R) → ↥S ≃+ ↥S.opBijection between a subring S and its opposite.
- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
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.
- MulOppositestatement · cited by 1,135
- AddEquivstatement · cited by 1,087
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.toSubsemiringproof · cited by 71
- Subring.opstatement · cited by 32
- Subsemiring.addEquivOpproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Subring.addEquivOp_apply_coestatement and proof · cited by 0
- Subring.addEquivOp_symm_apply_coestatement and proof · cited by 0