Theorems · Theorem · group theory
Submonoid.closure_pow
∀ {M : Type u_3} [inst : Monoid M] {s : Set M} {n : ℕ}, 1 ∈ s → n ≠ 0 → Submonoid.closure (s ^ n) = Submonoid.closure s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 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.
Cites11
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
- le_reflproof · cited by 2,061
- le_imp_le_of_le_of_leproof · cited by 576
- LE.le.antisymmproof · cited by 507
- Submonoid.closurestatement and proof · cited by 167
- Set.NPowstatement · cited by 51
- Submonoid.closure_monoproof · cited by 6
- Set.subset_powproof · cited by 2
- Submonoid.closure_pow_leproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.