Theorems · Theorem · order theory
Set.preimage_sdiff
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s t : Set β), f ⁻¹' (s \ t) = f ⁻¹' s \ f ⁻¹' t- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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 · cited by 4,946
Cited by4
Results whose statement or proof uses this declaration.
- IsOpenMap.coborder_preimage_subsetproof · cited by 1
- Continuous.preimage_coborder_subsetproof · cited by 1
- IsSemilinearSet.sdiffproof · cited by 1
- Set.preimage_diffproof · cited by 0