Theorems · Theorem · group theory
Set.one_mem_pow
∀ {α : Type u_2} [inst : Monoid α] {s : Set α} {n : ℕ}, 1 ∈ s → 1 ∈ s ^ 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.
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
- one_powproof · cited by 521
- Set.NPowstatement · cited by 51
- Set.pow_mem_powproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsApproximateSubgroup.pow_inter_powproof · cited by 0