Theorems · Theorem · order theory
Set.range_comp
∀ {α : Type u_1} {β : Type u_2} {ι : Sort u_4} (g : α → β) (f : ι → α), Set.range (g ∘ f) = g '' Set.range f- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 223 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 22 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.
Cited by223
Results whose statement or proof uses this declaration.
- GaloisConnection.l_iSupproof · cited by 78
- LinearMap.range_compproof · cited by 52
- GaloisConnection.u_iInfproof · cited by 40
- iSup_applyproof · cited by 35
- Set.range_comp'proof · cited by 17
- PrimeSpectrum.isBasis_basic_opensproof · cited by 16
- Cardinal.lift_iSupproof · cited by 16
- iInf_applyproof · cited by 15
- Affine.Simplex.range_face_pointsproof · cited by 10
- Finset.range_orderEmbOfFinproof · cited by 9
- DenseRange.compproof · cited by 9
- NNReal.coe_iSupproof · cited by 8
Showing the 200 most cited of 223.