Theorems · Theorem · order theory
Multiset.union_add_inter
∀ {α : Type u_1} [inst : DecidableEq α] (s t : Multiset α), s ∪ t + s ∩ t = s + t- Defined in
- Mathlib.Data.Multiset.UnionInter
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- le_antisymmproof · cited by 2,068
- Multiset.add_commproof · cited by 13
- Multiset.inter_le_leftproof · cited by 6
- Multiset.inter_le_rightproof · cited by 6
- Multiset.add_le_add_rightproof · cited by 5
- Multiset.le_union_leftproof · cited by 4
- Multiset.le_union_rightproof · cited by 4
- Multiset.le_interproof · cited by 4
- Multiset.union_leproof · cited by 4
- Multiset.add_le_add_leftproof · cited by 3
- Multiset.union_add_distribproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Finset.fold_union_interproof · cited by 2
- Associates.FactorSet.sup_add_inf_eq_addproof · cited by 1
- Multiset.fold_union_interproof · cited by 0