Theorems · Theorem · order theory
Multiset.finite_toSet
∀ {α : Type u} (s : Multiset α), {x | x ∈ s}.Finite- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 75 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.
- Set.ofPredstatement and proof · cited by 6,101
- Multisetstatement and proof · cited by 2,627
- Set.Finitestatement and proof · cited by 1,814
- Multiset.toFinsetproof · cited by 230
- Finset.finite_toSetproof · cited by 210
Cited by7
Results whose statement or proof uses this declaration.
- Polynomial.mahlerMeasure_mulproof · cited by 5
- Algebra.IsAlgebraic.lift_cardinalMk_le_maxproof · cited by 1
- Polynomial.mahlerMeasure_le_sqrt_sum_sq_norm_coeffproof · cited by 1
- Polynomial.mahlerMeasure_le_sum_norm_coeffproof · cited by 1
- List.finite_toSetproof · cited by 0
- DFinsupp.finite_supportproof · cited by 0
- Multiset.finite_toSet_toFinsetstatement and proof · cited by 0