Theorems · Definition · ring theory
Subring.unop
{R : Type u_2} → [inst : NonAssocRing R] → Subring Rᵐᵒᵖ → Subring RPull an opposite subring back to a subring along MulOpposite.op
- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 29 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 and proof · cited by 1,135
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subsemiringproof · cited by 456
- Subring.toSubsemiringproof · cited by 71
- Subsemiring.unopproof · cited by 26
Cited by26
Results whose statement or proof uses this declaration.
- Subring.opEquivproof · cited by 18
- Subring.unop_injectivestatement · cited by 2
- Subring.op_sInfstatement · cited by 1
- Subring.op_unopstatement · cited by 1
- Subring.unop_botstatement · cited by 1
- Subring.unop_topstatement · cited by 1
- Subring.coe_unopstatement and proof · cited by 1
- Subring.op_le_iffstatement · cited by 0
- Subring.op_sSupstatement · cited by 0
- Subalgebra.unop_toSubringstatement · cited by 0
- Subring.unop_eq_botstatement · cited by 0
- Subring.unop_eq_topstatement · cited by 0