Theorems · Theorem · ring theory
TwoSidedIdeal.zsmul_mem
∀ {R : Type u_1} [inst : NonUnitalNonAssocRing R] (I : TwoSidedIdeal R) {x : R} (n : ℤ), x ∈ I → n • x ∈ I- Defined in
- Mathlib.RingTheory.TwoSidedIdeal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Quot.sound
- Assumes
- NonUnitalNonAssocRing
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.
- NonUnitalNonAssocRingstatement and proof · cited by 354
- TwoSidedIdealstatement and proof · cited by 151
- zsmul_memproof · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.