Theorems · Theorem · group theory
Finset.Nontrivial.pow
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : CancelMonoid α] {s : Finset α},
s.Nontrivial → ∀ {n : ℕ}, n ≠ 0 → (s ^ n).Nontrivial- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCancelMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.Nontrivialstatement and proof · cited by 53
- Finset.monoidstatement · cited by 20
- CancelMonoidstatement and proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Finset.pow_ssubset_pow_succ_of_pow_ne_closureproof · cited by 1