Theorems · Theorem · combinatorics
Multiset.nodup_of_le
∀ {α : Type u_1} {s t : Multiset α}, s ≤ t → t.Nodup → s.Nodup- Defined in
- Mathlib.Data.Multiset.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 24 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.Nodupstatement · cited by 148
- Multiset.leInductionOnproof · cited by 12
Cited by10
Results whose statement or proof uses this declaration.
- Multiset.nodup_powersetproof · cited by 3
- Finset.ordConnected_range_valproof · cited by 2
- Multiset.le_dedupproof · cited by 1
- Polynomial.roots_cyclotomic_nodupproof · cited by 1
- Multiset.Nodup.eraseproof · cited by 1
- Multiset.Nodup.inter_leftproof · cited by 0
- Multiset.Nodup.inter_rightproof · cited by 0
- Multiset.nodup_unionproof · cited by 0
- Finset.card_filter_le_iffproof · cited by 0
- Multiset.Nodup.powersetCardproof · cited by 0