Theorems · Theorem · commutative algebra
Ideal.FG.mul
∀ {R : Type u_1} [inst : Semiring R] {I J : Ideal R} [I.IsTwoSided], I.FG → J.FG → (I * J).FG- Defined in
- Mathlib.RingTheory.Finiteness.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringIdeal.IsTwoSided
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Ideal.IsTwoSidedstatement and proof · cited by 179
- Ideal.FGstatement and proof · cited by 99
- Submodule.FG.smulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.FG.powproof · cited by 1