Theorems · Theorem · number theory
zmod_smul_mem
∀ {n : ℕ} {S : Type u_1} {G : Type u_2} [inst : AddCommGroup G] [inst_1 : SetLike S G] [AddSubgroupClass S G] {K : S}
[inst_3 : Module (ZMod n) G] {x : G}, x ∈ K → ∀ (a : ZMod n), a • x ∈ K- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- SetLikestatement and proof · cited by 1,084
- ZModstatement and proof · cited by 1,024
- AddSubgroupClassstatement and proof · cited by 240
- Int.cast_smul_eq_zsmulproof · cited by 28
- zsmul_memproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- smulMemClassproof · cited by 0