Theorems · Theorem · ring theory
TwoSidedIdeal.ringCon_le_iff
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] {I J : TwoSidedIdeal R}, I ≤ J ↔ I.ringCon ≤ J.ringCon- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 46 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.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- RingConstatement · cited by 219
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConstatement · cited by 40
- RelIso.map_rel_iffproof · cited by 17
- TwoSidedIdeal.orderIsoRingConproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.span_leproof · cited by 1