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Theorems · Theorem · order theory

Set.subset_sInter

∀ {α : Type u_1} {S : Set (Set α)} {t : Set α}, (∀ t' ∈ S, t ⊆ t') → t ⊆ ⋂₀ S
Defined in
Mathlib.Data.Set.Lattice
Cited by
8 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.sInterstatement · cited by 225
  • le_sInfproof · cited by 51

Cited by8

Results whose statement or proof uses this declaration.