Theorems · Theorem · combinatorics
Multiset.add_le_add_left
∀ {α : Type u_1} {s t u : Multiset α}, t ≤ u → s + t ≤ s + uAlias of the reverse direction of Multiset.add_le_add_iff_left.
- Defined in
- Mathlib.Data.Multiset.AddSub
- Cited by
- 3 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.
Cites2
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.add_le_add_iff_leftproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Multiset.le_add_rightproof · cited by 9
- Multiset.union_add_interproof · cited by 3
- Multiset.disjSum_mono_rightproof · cited by 0