Theorems · Theorem · group theory

Finset.nsmul_right_strictMonoOn

∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : DecidableEq G] {X : Finset G},
  0 ∈ X → X.Nontrivial → StrictMonoOn (fun n => n • X) {n | (n - 1) • ↑X ≠ ↑(AddSubgroup.closure ↑X)}

Defined in

Mathlib.Geometry.Group.Growth.LinearLowerBound

Cited by

1 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupDecidableEq