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Theorems · Definition · commutative algebra

Ideal.ofRel

{α : Type u} → [inst : Semiring α] → (α → α → Prop) → Ideal α

The ideal generated by an arbitrary binary relation.

Defined in
Mathlib.RingTheory.Ideal.Span
Cited by
2 results in Mathlib
Foundations
Depth 18 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.ringQuotToIdealQuotient · cited by 1RingQuot.ringQuotToIdealQ…RingQuot.idealQuotientToRingQuot · cited by 1RingQuot.idealQuotientToR…RingQuot.ringQuotEquivIdealQuotient · cited by 0RingQuot.ringQuotEquivIde…RingQuot.ringQuotToIdealQuotient_apply · cited by 0RingQuot.ringQuotToIdealQ…RingQuot.idealQuotientToRingQuot_apply · cited by 0RingQuot.idealQuotientToR…DividedPowerAlgebra.RelI · cited by 0DividedPowerAlgebra.RelISemiring · cited by 13802SemiringSet.ofPred · cited by 6101Set.ofPredIdeal · cited by 4748IdealSubmodule.span · cited by 1504Submodule.spanIdeal.ofRelCITED BYCITES

Cites4

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

Cited by6

Results whose statement or proof uses this declaration.