Mathlib Map

Theorems · Definition · commutative algebra

Ideal.comap

{R : Type u} →
  {S : Type v} →
    {F : Type u_1} →
      [inst : Semiring R] →
        [inst_1 : Semiring S] → [inst_2 : FunLike F R S] → F → [RingHomClass F R S] → Ideal S → Ideal R

I.comap f is the preimage of I under f.

Defined in
Mathlib.RingTheory.Ideal.Maps
Cited by
443 results in Mathlib
Foundations
Depth 17 from the axioms, rests on 194 definitions · uses propext
Assumes
SemiringSemiringFunLikeRingHomClass

Around this declaration

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

Cites7

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

Cited by489

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 489.