Theorems · Theorem · order theory
Set.sigma_eq_biUnion
∀ {ι : Type u_1} {α : ι → Type u_3} {s : Set ι} {t : (i : ι) → Set (α i)}, s.sigma t = ⋃ i ∈ s, Sigma.mk i '' t i- Defined in
- Mathlib.Data.Set.Sigma
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.imagestatement · cited by 5,609
- Set.iUnionstatement · cited by 2,483
- Set.extproof · cited by 2,266
- Set.sigmastatement · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Set.isCompact_sigmaproof · cited by 1