Theorems · Theorem · order theory
Antitone.iInter_nat_add
∀ {α : Type u_1} {f : ℕ → Set α}, Antitone f → ∀ (k : ℕ), ⋂ n, f (n + k) = ⋂ n, f n- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 60 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.iInterstatement · cited by 1,084
- Antitonestatement and proof · cited by 563
- Antitone.iInf_nat_addproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- cantorSet_eq_union_halvesproof · cited by 1