Theorems · Theorem · order theory
Set.range_domRestrict
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (s : Set α), Set.range (s.domRestrict f) = f '' s- Defined in
- Mathlib.Data.Set.Restrict
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Elemstatement · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- Set.rangestatement · cited by 4,705
- Set.domRestrictstatement · cited by 383
- Set.range_compproof · cited by 223
- Subtype.range_coeproof · cited by 98
Cited by8
Results whose statement or proof uses this declaration.
- cfc_map_spectrumproof · cited by 11
- cfc_compproof · cited by 5
- cfcₙ_map_quasispectrumproof · cited by 5
- cfcₙ_compproof · cited by 3
- OpenPartialHomeomorph.isOpenEmbedding_restrictproof · cited by 2
- Orthonormal.exists_orthonormalBasis_extension_of_card_eqproof · cited by 1
- IsLocalHomeomorph.isTopologicalBasisproof · cited by 0
- Set.range_restrictproof · cited by 0