Theorems · Theorem · commutative algebra
Ideal.FG.pow
∀ {R : Type u_1} [inst : Semiring R] {I : Ideal R} [I.IsTwoSided] {n : ℕ}, I.FG → (I ^ n).FG- Defined in
- Mathlib.RingTheory.Finiteness.Ideal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 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.
Cites10
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
- Submoduleproof · cited by 7,192
- Idealstatement and proof · cited by 4,748
- Ideal.IsTwoSidedstatement and proof · cited by 179
- Ideal.FGstatement and proof · cited by 99
- Ideal.one_eq_topproof · cited by 83
- Submodule.pow_zeroproof · cited by 9
- Ideal.fg_topproof · cited by 1
- Ideal.IsTwoSided.pow_succproof · cited by 1
- Ideal.FG.mulproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AdicCompletion.pow_smul_top_eq_ker_evalproof · cited by 4