Theorems · Theorem · group theory
Set.pow_subset_pow
∀ {α : Type u_2} [inst : Monoid α] {s t : Set α} {m n : ℕ}, s ⊆ t → 1 ∈ t → m ≤ n → s ^ m ⊆ t ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 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.
Cites6
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
- LE.le.transproof · cited by 3,151
- Set.NPowstatement · cited by 51
- Set.pow_subset_pow_leftproof · cited by 2
- Set.pow_subset_pow_rightproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsApproximateSubgroup.pow_inter_powproof · cited by 0