Theorems · Theorem · order theory
Set.Infinite.inter_of_finite_sdiff
∀ {α : Type u_1} {s t : Set α}, s.Infinite → (s \ t).Finite → (s ∩ t).Infinite- Defined in
- Mathlib.Data.Set.Finite.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 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
- Set.Finitestatement and proof · cited by 1,814
- Set.Infinitestatement and proof · cited by 263
- sdiff_sdiff_right_selfproof · cited by 20
- Set.Infinite.sdiffproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- Set.Infinite.inter_of_finite_diffproof · cited by 0
- isCountablyCompact_iff_infinite_subset_has_accPtproof · cited by 0