Mathlib Map

Theorems · Definition · commutative algebra

RingQuot.mkRingHom

{R : Type u_1} → [inst : Semiring R] → (r : R → R → Prop) → R →+* RingQuot r

The quotient map from a ring to its quotient, as a homomorphism of rings.

Defined in
Mathlib.Algebra.RingQuot
Cited by
16 results in Mathlib
Foundations
Depth 35 from the axioms · uses propext, Quot.sound
Assumes
Semiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

RingQuot.mkRingHom_def · cited by 8RingQuot.mkRingHom_defRingQuot.mkAlgHom_def · cited by 4RingQuot.mkAlgHom_defRingQuot.lift_def · cited by 2RingQuot.lift_defRingQuot.ringQuot_ext · cited by 2RingQuot.ringQuot_extRingQuot.liftAlgHom_mkAlgHom_apply · cited by 1RingQuot.liftAlgHom_mkAlg…RingQuot.lift_mkRingHom_apply · cited by 1RingQuot.lift_mkRingHom_a…RingQuot.lift_unique · cited by 1RingQuot.lift_uniqueRingQuot.mkAlgHom_rel · cited by 1RingQuot.mkAlgHom_relRingQuot.mkAlgHom_surjective · cited by 1RingQuot.mkAlgHom_surject…RingQuot.mkRingHom_rel · cited by 1RingQuot.mkRingHom_relRingQuot.mkRingHom_surjective · cited by 1RingQuot.mkRingHom_surjec…RingQuot.idealQuotientToRingQuot · cited by 1RingQuot.idealQuotientToR…RingQuot.mkAlgHom_coe · cited by 0RingQuot.mkAlgHom_coeRingQuot.ringQuotToIdealQuotient_apply · cited by 0RingQuot.ringQuotToIdealQ…RingQuot.ringQuot_ext_iff · cited by 0RingQuot.ringQuot_ext_iffSemiring · cited by 13802SemiringRingHom · cited by 10189RingHomRingQuot · cited by 36RingQuotRingQuot.mkRingHomCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by17

Results whose statement or proof uses this declaration.