Set.iUnion_congr_Prop

∀ {α : Type u_1} {p q : Prop} {f₁ : p → Set α} {f₂ : q → Set α} (pq : p ↔ q),
  (∀ (x : q), f₁ ⋯ = f₂ x) → Set.iUnion f₁ = Set.iUnion f₂

Defined in: Mathlib.Data.Set.Lattice
Cited by: 374 results in Mathlib
Foundations: Depth 6 from the axioms, rests on 21 definitions · uses propext, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 374.