Theorems · Definition · ring theory
TwoSidedIdeal.opOrderIso
{R : Type u_1} → [inst : NonUnitalNonAssocRing R] → TwoSidedIdeal R ≃o TwoSidedIdeal RᵐᵒᵖTwo-sided-ideals of A and that of Aᵒᵖ corresponds bijectively to each other.
- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 49 from the axioms · uses propext, 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.
- MulOppositestatement · cited by 1,135
- OrderIsostatement · cited by 874
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.opproof · cited by 4
- TwoSidedIdeal.unopproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.opOrderIso_applystatement and proof · cited by 0
- TwoSidedIdeal.opOrderIso_symm_applystatement and proof · cited by 0