Theorems · Theorem · commutative algebra
Submodule.mul_annihilator
∀ {R : Type u_1} [inst : CommSemiring R] (I : Ideal R), I * Submodule.annihilator I = ⊥- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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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
- Bot.botstatement and proof · cited by 4,720
- mul_commproof · cited by 2,262
- Submodule.annihilatorstatement and proof · cited by 42
- Submodule.annihilator_mulproof · cited by 1
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