Theorems · Theorem · ring theory
Subring.op_inj
∀ {R : Type u_2} [inst : NonAssocRing R] {S T : Subring R}, S.op = T.op ↔ S = T- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRing
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.
- MulOppositestatement · cited by 1,135
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.opstatement · cited by 32
- RelIso.eq_iff_eqproof · cited by 18
- Subring.opEquivproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Subring.unop_closureproof · cited by 0