Theorems · Theorem · order theory
Set.Finite.toFinset_subset_toFinset
∀ {α : Type u} {s t : Set α} {hs : s.Finite} {ht : t.Finite}, hs.toFinset ⊆ ht.toFinset ↔ s ⊆ t- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- Set.Finitestatement and proof · cited by 1,814
- Set.Finite.toFinsetstatement · cited by 351
- Set.Finite.coe_toFinsetproof · cited by 124
Cited by2
Results whose statement or proof uses this declaration.
- Set.Finite.toFinset_monoproof · cited by 10
- Set.exists_eq_insert_iff_ncardproof · cited by 0