Theorems · Theorem · ring theory
TwoSidedIdeal.mem_op_iff
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {I : TwoSidedIdeal R} {x : Rᵐᵒᵖ}, x ∈ I.op ↔ MulOpposite.unop x ∈ I- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- NonUnitalNonAssocRingstatement and proof · cited by 354
- MulOpposite.unopstatement · cited by 268
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConproof · cited by 40
- Con.toSetoidproof · cited by 38
- RingCon.toConproof · cited by 36
- Setoid.comm'proof · cited by 9
- TwoSidedIdeal.opstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.coe_opproof · cited by 0