Theorems · Theorem · commutative algebra
Ideal.le_comap_mul
∀ {R : Type u} {S : Type v} {F : Type u_1} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : FunLike F R S]
[rc : RingHomClass F R S] (f : F) {K L : Ideal S}, Ideal.comap f K * Ideal.comap f L ≤ Ideal.comap f (K * L)- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- FunLikestatement and proof · cited by 2,560
- le_rflproof · cited by 1,558
- Ideal.comapstatement and proof · cited by 443
- RingHomClassstatement and proof · cited by 193
- Ideal.map_le_iff_le_comapproof · cited by 60
- Ideal.map_mulproof · cited by 9
- Ideal.mul_monoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.le_comap_powproof · cited by 1