Theorems · Theorem · commutative algebra
Ideal.mul_bot
∀ {R : Type u} [inst : Semiring R] (I : Ideal R), I * ⊥ = ⊥- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 2 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.
Cites4
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 and proof · cited by 4,720
- Submodule.mul_botproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Ideal.spanNorm_mul_of_bot_or_topproof · cited by 1
- ClassGroup.exists_mk0_eq_mk0proof · cited by 1