Theorems · Theorem · commutative algebra
Submodule.annihilator_mul
∀ {R : Type u_1} [inst : Semiring R] (I : Ideal R), Submodule.annihilator I * I = ⊥- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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
- Bot.botstatement · cited by 4,720
- Submodule.annihilatorstatement · cited by 42
- Submodule.annihilator_smulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.mul_annihilatorproof · cited by 0