Theorems · Theorem · ring theory
TwoSidedIdeal.rel_iff
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] (I : TwoSidedIdeal R) (x y : R), I.ringCon x y ↔ x - y ∈ I- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- DFunLikeproof · cited by 576
- NonUnitalNonAssocRingstatement and proof · cited by 354
- RingConstatement and proof · cited by 219
- TwoSidedIdealstatement and proof · cited by 151
- TwoSidedIdeal.ringConstatement and proof · cited by 40
- RingCon.reflproof · cited by 10
- TwoSidedIdeal.mem_iffproof · cited by 9
- RingCon.addproof · cited by 5
- RingCon.subproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- TwoSidedIdeal.mem_span_iffproof · cited by 6
- TwoSidedIdeal.ker_ringCon_mk'proof · cited by 1
- TwoSidedIdeal.span_leproof · cited by 1
- TwoSidedIdeal.mem_supproof · cited by 0