Theorems · Definition · ring theory
TwoSidedIdeal.orderIsoRingCon
{R : Type u_1} → [inst : NonUnitalNonAssocRing R] → TwoSidedIdeal R ≃o RingCon RTwo-sided-ideals corresponds to congruence relations on a ring.
- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- OrderIsostatement · cited by 874
- NonUnitalNonAssocRingstatement and proof · cited by 354
- RingConstatement · cited by 219
- TwoSidedIdealstatement · cited by 151
- TwoSidedIdeal.ringConproof · cited by 40
Cited by4
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.ringCon_le_iffproof · cited by 1
- isSimpleRing_iff_isTwoSided_impproof · cited by 1
- TwoSidedIdeal.orderIsoRingCon_applystatement and proof · cited by 0
- TwoSidedIdeal.orderIsoRingCon_symm_applystatement and proof · cited by 0