Theorems · Theorem · order theory
Set.Infinite.sdiff
∀ {α : Type u} {s t : Set α}, s.Infinite → t.Finite → (s \ t).Infinite- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 66 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.Infinitestatement and proof · cited by 263
- Set.Finite.of_sdiffproof · cited by 4
Cited by10
Results whose statement or proof uses this declaration.
- Set.ncard_sdiffproof · cited by 4
- Set.ncard_sdiff_singleton_of_memproof · cited by 2
- WellFoundedGT.finite_of_sSupIndepproof · cited by 2
- exists_covby_infinite_Ici_of_infinite_Iciproof · cited by 2
- SimpleGraph.ComponentCompl.infinite_iff_in_all_rangesproof · cited by 2
- Set.Infinite.inter_of_finite_sdiffproof · cited by 2
- Set.ncard_sdiff_singleton_leproof · cited by 1
- Polynomial.dvd_of_infinite_eval_dvd_evalproof · cited by 0
- Set.Infinite.exists_superset_ncard_eqproof · cited by 0
- Set.Infinite.diffproof · cited by 0