Theorems · Definition · group theory
Finset.addMonoid
{α : Type u_2} → [DecidableEq α] → [AddMonoid α] → AddMonoid (Finset α)Finset α is an AddMonoid under pointwise operations if α is.
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddMonoid
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
- AddMonoidstatement and proof · cited by 2,864
- Finset.coe_injectiveproof · cited by 127
- Finset.coe_nsmulproof · cited by 9
- Function.Injective.addMonoidproof · cited by 0
Cited by21
Results whose statement or proof uses this declaration.
- Finset.card_nsmul_lestatement · cited by 2
- IsAddUnit.finsetstatement · cited by 2
- Finset.Nonempty.nsmulstatement · cited by 2
- Finset.Nontrivial.nsmulstatement · cited by 1
- Finset.nsmul_right_monotonestatement · cited by 1
- Finset.nsmul_right_strictMonoOnstatement · cited by 1
- Finset.image_nsmul_of_ne_zerostatement · cited by 1
- Finset.isAddUnit_iffstatement · cited by 1
- Finset.isAddUnit_singletonstatement · cited by 1
- IsApproximateAddSubgroup.card_nsmul_lestatement · cited by 1
- Finset.small_nsmul_of_small_triplingstatement · cited by 1
- Finset.nsmul_right_strictMonostatement · cited by 0