Theorems · Theorem · order theory
Multiset.map_add_right_Ioo
∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [IsOrderedCancelAddMonoid α] [ExistsAddOfLE α]
[inst_4 : LocallyFiniteOrder α] (a b c : α),
Multiset.map (fun x => x + c) (Multiset.Ioo a b) = Multiset.Ioo (a + c) (b + c)- Defined in
- Mathlib.Algebra.Order.Interval.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Multisetstatement · cited by 2,627
- add_commproof · cited by 1,535
- Multiset.mapstatement · cited by 876
- LocallyFiniteOrderstatement and proof · cited by 658
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- ExistsAddOfLEstatement and proof · cited by 330
- Multiset.map_congrproof · cited by 232
- Multiset.Ioostatement and proof · cited by 13
- Multiset.map_add_left_Iooproof · cited by 1
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