Theorems · Theorem · order theory
Finset.map_add_right_Ico
∀ {α : Type u_2} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [inst_2 : IsOrderedCancelAddMonoid α]
[ExistsAddOfLE α] [inst_4 : LocallyFiniteOrder α] (a b c : α),
Finset.map (addRightEmbedding c) (Finset.Ico a b) = Finset.Ico (a + c) (b + c)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- Set.imageproof · cited by 5,609
- Set.Icoproof · cited by 799
- Finset.mapstatement · cited by 747
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
Cited by5
Results whose statement or proof uses this declaration.
- Finset.sum_Ico_add'proof · cited by 6
- Finset.prod_Ico_add'proof · cited by 2
- Nat.sum_range_add_chooseproof · cited by 1
- Finset.image_add_right_Icoproof · cited by 0
- Finset.sum_Ico_add_right_sub_eqproof · cited by 0