Theorems · Theorem · group theory
Finset.coe_nsmul
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : AddMonoid α] (s : Finset α) (n : ℕ), ↑(n • s) = n • ↑s- Cited by
- 9 results in Mathlib
- Foundations
- Depth 79 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.
Cites10
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
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- zero_nsmulproof · cited by 137
- succ_nsmulproof · cited by 65
- Set.NSMulstatement · cited by 42
- Finset.nsmulstatement · cited by 30
- Finset.coe_addproof · cited by 19
- Finset.coe_zeroproof · cited by 6
Cited by10
Results whose statement or proof uses this declaration.
- Finset.addMonoidproof · cited by 19
- IsApproximateAddSubgroup.nsmul_inter_nsmul_covByVAdd_sq_inter_sqproof · cited by 1
- IsApproximateAddSubgroup.card_nsmul_leproof · cited by 1
- Finset.nsmul_ssubset_nsmul_succ_of_nsmul_ne_closureproof · cited by 1
- IsApproximateAddSubgroup.of_small_triplingproof · cited by 0
- Finset.nsmul_right_strictMonoproof · cited by 0
- Finset.card_nsmul_quotient_add_nsmul_inter_addSubgroup_leproof · cited by 0
- Finset.mem_nsmulproof · cited by 0
- Finset.nsmul_univproof · cited by 0
- Finset.coe_zsmulproof · cited by 0