Theorems · Theorem · group theory
Finset.coe_add
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Add α] (s t : Finset α), ↑(s + t) = ↑s + ↑t- Cited by
- 19 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAdd
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.
- Setstatement · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.addstatement · cited by 338
- Finset.addstatement · cited by 133
- Finset.coe_image₂proof · cited by 55
Cited by19
Results whose statement or proof uses this declaration.
- Finset.coe_nsmulproof · cited by 9
- Finset.addEnergy_eq_sum_sq'proof · cited by 2
- IsApproximateAddSubgroup.card_nsmul_leproof · cited by 1
- AddSubgroup.closure_add_image_eq_top'proof · cited by 1
- Finset.add_eq_zero_iffproof · cited by 1
- Finset.Iic_add_Iic_subsetproof · cited by 0
- Finset.Ico_add_Icc_subsetproof · cited by 0
- Finset.Ico_add_Ioc_subsetproof · cited by 0
- Finset.Iic_add_Iio_subsetproof · cited by 0
- Finset.product_add_product_commproof · cited by 0
- Finset.Ioi_add_Ici_subsetproof · cited by 0
- Finset.Iio_add_Iic_subsetproof · cited by 0