Theorems · Theorem · order theory
Multiset.inter_add_distrib
∀ {α : Type u_1} [inst : DecidableEq α] (s t u : Multiset α), s ∩ t + u = (s + u) ∩ (t + u)- Defined in
- Mathlib.Data.Multiset.UnionInter
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 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.
- LE.le.transproof · cited by 3,151
- Multisetstatement and proof · cited by 2,627
- Multiset.consproof · cited by 313
- LT.lt.not_geproof · cited by 305
- Ne.lt_of_leproof · cited by 27
- Multiset.cons_addproof · cited by 10
- Multiset.lt_cons_selfproof · cited by 8
- Multiset.inter_le_leftproof · cited by 6
- Multiset.inter_le_rightproof · cited by 6
- Multiset.add_le_add_rightproof · cited by 5
- Multiset.le_interproof · cited by 4
- Multiset.lt_iff_cons_leproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.add_inter_distribproof · cited by 1