Theorems · Theorem · commutative algebra

Ideal.map_ofList

∀ {R : Type u_1} {S : Type u_2} [inst : Semiring R] [inst_1 : Semiring S] (f : R →+* S) (rs : List R),
  Ideal.map f (Ideal.ofList rs) = Ideal.ofList (List.map (⇑f) rs)

Defined in: Mathlib.RingTheory.Regular.RegularSequence
Cited by: 2 results in Mathlib
Foundations: Depth 28 from the axioms · uses propext, Quot.sound
Assumes: Semiring Semiring

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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 · cited by 62,936
Semiringstatement and proof · cited by 13,802
RingHomstatement and proof · cited by 10,189
Set.ofPredproof · cited by 6,101
Idealstatement · cited by 4,748
Set.extproof · cited by 2,266
Ideal.spanproof · cited by 948
Ideal.mapstatement · cited by 692
Ideal.map_spanproof · cited by 43
Ideal.ofListstatement · cited by 33

Cited by2

Results whose statement or proof uses this declaration.

RingTheory.Sequence.isRegular_cons_iff'proof · cited by 1
RingTheory.Sequence.IsRegular.of_faithfullyFlat_of_isBaseChangeproof · cited by 1