Theorems · Theorem · group theory
Set.inter_pow_subset
∀ {α : Type u_2} [inst : Monoid α] {s t : Set α} {n : ℕ}, (s ∩ t) ^ n ⊆ s ^ n ∩ t ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 57 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
- Set.subset_interproof · cited by 74
- Set.NPowstatement · cited by 51
- pow_le_pow_left'proof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- IsApproximateSubgroup.pow_inter_powproof · cited by 0