Mathlib Map

Theorems · Theorem · order theory

Set.iInter_and

∀ {α : Type u_1} {p q : Prop} (s : p ∧ q → Set α), ⋂ (h : p ∧ q), s h = ⋂ (hp : p), ⋂ (hq : q), 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.iInterstatement · cited by 1,084
  • iInf_andproof · cited by 15

Cited by8

Results whose statement or proof uses this declaration.