Theorems · Theorem · order theory
Set.preimage_const_of_notMem
∀ {α : Type u_1} {β : Type u_2} {b : β} {s : Set β}, b ∉ s → (fun x => b) ⁻¹' s = ∅- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, 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.preimagestatement and proof · cited by 4,946
- Set.eq_empty_of_subset_emptyproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Set.indicator_preimage_of_notMemproof · cited by 2
- MeasureTheory.SimpleFunc.setToSimpleFunc_indicatorproof · cited by 1
- MeasurableSpace.comap_constproof · cited by 1
- Filter.map_constproof · cited by 1
- Set.mulIndicator_preimage_of_notMemproof · cited by 0
- MeasurableSpace.map_constproof · cited by 0