Theorems · Theorem · commutative algebra
Ideal.neg_mem_iff
∀ {α : Type u} [inst : Ring α] (I : Ideal α) {a : α}, -a ∈ I ↔ a ∈ I- Defined in
- Mathlib.RingTheory.Ideal.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- Submodule.neg_mem_iffproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- IsAdicComplete.le_jacobson_botproof · cited by 1
- Valuation.map_add_suppproof · cited by 1