Theorems · Theorem · order theory
Set.Finite.sdiff
∀ {α : Type u} {s t : Set α}, s.Finite → (s \ t).Finite- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Set.Finitestatement and proof · cited by 1,814
- Set.Finite.subsetproof · cited by 285
- Set.sdiff_subsetproof · cited by 156
Cited by15
Results whose statement or proof uses this declaration.
- Set.ncard_inter_add_ncard_sdiff_eq_ncardproof · cited by 4
- Set.ncard_sdiff_singleton_add_oneproof · cited by 3
- nhdsNE_of_nhdsNE_sdiff_finiteproof · cited by 3
- Set.ncard_sdiff_add_ncard_of_subsetproof · cited by 2
- Set.ncard_le_ncard_sdiff_add_ncardproof · cited by 2
- closure_sUnion_irreducibleComponents_sdiff_singletonproof · cited by 2
- Set.ncard_sdiff_add_ncardproof · cited by 1
- Matroid.exists_mem_finite_closure_of_mem_closureproof · cited by 1
- Set.Finite.encard_biUnionproof · cited by 1
- Set.eq_empty_or_encard_eq_top_or_encard_sdiff_singleton_ltproof · cited by 1
- algebraicIndependent_of_set_of_finiteproof · cited by 1
- Set.Finite.diffproof · cited by 0