Theorems · Theorem · order theory
Set.image_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : β → γ) (g : α → β) (a : Set α), f ∘ g '' a = f '' g '' a- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 142 results in Mathlib
- Foundations
- Depth 8 from the axioms, rests on 23 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 and proof · cited by 5,609
- Set.extproof · cited by 2,266
- Set.image_congrproof · cited by 533
Cited by142
Results whose statement or proof uses this declaration.
- Set.image_imageproof · cited by 140
- IsOpenMap.compproof · cited by 20
- iInf_imageproof · cited by 14
- iSup_imageproof · cited by 12
- MeasurableEmbedding.compproof · cited by 7
- IsClosedMap.compproof · cited by 6
- AddMonoidAlgebra.supported_eq_span_singleproof · cited by 5
- SimpleGraph.edist_commproof · cited by 4
- Set.SurjOn.compproof · cited by 3
- MeasureTheory.Measure.toSphere_apply'proof · cited by 3
- RootPairing.linearIndepOn_root_baseOfproof · cited by 3
- AlgebraicGeometry.PresheafedSpace.GlueData.ι_image_preimage_eqproof · cited by 3