Theorems · Theorem · combinatorics
Multiset.cons_le_cons
∀ {α : Type u_1} {s t : Multiset α} (a : α), s ≤ t → a ::ₘ s ≤ a ::ₘ t- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Multiset.consstatement · cited by 313
- Multiset.cons_le_cons_iffproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- Multiset.inter_le_rightproof · cited by 6
- Multiset.singleton_leproof · cited by 3
- Multiset.nodup_iff_ne_cons_consproof · cited by 1
- Multiset.erase_le_iff_le_consproof · cited by 1
- Multiset.lt_replicate_succproof · cited by 1
- Multiset.cons_le_of_notMemproof · cited by 0