Theorems · Definition · commutative algebra
RingQuot.ringCon
{R : Type uR} → [inst : Semiring R] → (R → R → Prop) → RingCon REqvGen (RingQuot.Rel r) is a ring congruence.
- Defined in
- Mathlib.Algebra.RingQuot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses no axioms
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- RingConstatement · cited by 219
- Relation.EqvGenproof · cited by 49
- RingQuot.Relproof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- RingQuot.eqvGen_rel_eqproof · cited by 0