Theorems · Theorem · order theory
Set.iInter_mono
∀ {α : Type u_1} {ι : Sort u_5} {s t : ι → Set α}, (∀ (i : ι), s i ⊆ t i) → ⋂ i, s i ⊆ ⋂ i, t i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 7 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.
Cites3
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
- iInf_monoproof · cited by 29
Cited by7
Results whose statement or proof uses this declaration.
- interior_iInterproof · cited by 2
- setOfPred_liouville_eq_irrational_inter_iInter_iUnionproof · cited by 2
- balanced_iInterproof · cited by 1
- interior_iInter₂_subsetproof · cited by 1
- Set.iInter_subset_iInter₂proof · cited by 1
- AlgebraicGeometry.Scheme.IdealSheafData.support_antitoneproof · cited by 0
- Set.biInter_dissipateproof · cited by 0