Theorems · Theorem · group theory
Submonoid.closure_pow_le
∀ {M : Type u_3} [inst : Monoid M] {s : Set M} {n : ℕ}, Submonoid.closure (s ^ n) ≤ Submonoid.closure s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Monoidstatement and proof · cited by 3,887
- Submonoidstatement · cited by 3,086
- Submonoid.closurestatement · cited by 167
- Set.NPowstatement · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.closure_powproof · cited by 0