Theorems · Theorem · logic and foundations
Set.pairwiseDisjoint_fiber
∀ {α : Type u_1} {ι : Type u_4} (f : ι → α) (s : Set α), s.PairwiseDisjoint fun a => f ⁻¹' {a}- Defined in
- Mathlib.Data.Set.Pairwise.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, 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.preimagestatement and proof · cited by 4,946
- Bot.botproof · cited by 4,720
- Set.PairwiseDisjointstatement · cited by 275
- disjoint_iff_inf_leproof · cited by 64
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.sum_measure_preimage_singletonproof · cited by 3
- MeasureTheory.lintegral_countableproof · cited by 1
- MeasureTheory.tsum_measure_preimage_singletonproof · cited by 1
- pairwise_disjoint_fiberproof · cited by 0