Theorems · Definition · group theory
Finset.monoid
{α : Type u_2} → [DecidableEq α] → [Monoid α] → Monoid (Finset α)Finset α is a Monoid under pointwise operations if α is.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMonoid
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.
- Finsetstatement · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Monoidstatement and proof · cited by 3,887
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_powproof · cited by 4
- Function.Injective.monoidproof · cited by 0
Cited by22
Results whose statement or proof uses this declaration.
- Finset.Nonempty.powstatement · cited by 2
- IsUnit.finsetstatement · cited by 2
- Finset.card_pow_lestatement · cited by 2
- Finset.Nontrivial.powstatement · cited by 1
- Finset.pow_right_monotonestatement · cited by 1
- Finset.pow_right_strictMonoOnstatement · cited by 1
- Finset.image_pow_of_ne_zerostatement · cited by 1
- IsApproximateSubgroup.card_pow_lestatement · cited by 1
- Finset.small_pow_of_small_triplingstatement · cited by 1
- Finset.isUnit_singletonstatement · cited by 1
- Finset.pow_right_strictMonostatement · cited by 0
- Finset.mulActionstatement · cited by 0