Theorems · Theorem · commutative algebra
Ideal.comap_iInf
∀ {R : Type u} {S : Type v} {F : Type u_1} [inst : Semiring R] [inst_1 : Semiring S] [inst_2 : FunLike F R S] (f : F)
[inst_3 : RingHomClass F R S] {ι : Sort u_3} (K : ι → Ideal S), Ideal.comap f (iInf K) = ⨅ i, Ideal.comap f (K i)- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Idealstatement and proof · cited by 4,748
- FunLikestatement and proof · cited by 2,560
- iInfstatement · cited by 1,690
- Ideal.comapstatement · cited by 443
- RingHomClassstatement and proof · cited by 193
- GaloisConnection.u_iInfproof · cited by 40
- Ideal.gc_map_comapproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.comap_finsetInfproof · cited by 0