Theorems · Theorem · combinatorics
Multiset.disjSum_lt_disjSum_of_lt_of_le
∀ {α : Type u_1} {β : Type u_2} {s₁ s₂ : Multiset α} {t₁ t₂ : Multiset β},
s₁ < s₂ → t₁ ≤ t₂ → s₁.disjSum t₁ < s₂.disjSum t₂- Defined in
- Mathlib.Data.Multiset.Sum
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- add_lt_add_of_lt_of_leproof · cited by 37
- Multiset.disjSumstatement · cited by 17
- Multiset.map_le_mapproof · cited by 14
- Multiset.map_lt_mapproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Finset.disjSum_ssubset_disjSum_of_ssubset_of_subsetproof · cited by 1
- Multiset.disjSum_strictMono_leftproof · cited by 0