Theorems · Theorem · order theory
Set.range_unique
∀ {α : Type u_1} {ι : Sort u_4} {f : ι → α} [inst : Unique ι], Set.range f = {f default}The range of a function from a Unique type contains just the
function applied to its single value.
- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- Unique
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 · cited by 53,352
- Set.rangestatement · cited by 4,705
- Uniquestatement and proof · cited by 400
- Unique.eq_defaultproof · cited by 38
Cited by8
Results whose statement or proof uses this declaration.
- linearIndependent_fin2proof · cited by 2
- FiniteDimensional.range_basisSingletonproof · cited by 1
- AffineIndependent.existsUnique_dist_eqproof · cited by 1
- linearIndependent_option'proof · cited by 1
- Module.Basis.basis_singleton_iffproof · cited by 1
- PrimeSpectrum.residueField_comapproof · cited by 0
- Affine.Simplex.circumcenter_eq_pointproof · cited by 0
- Set.range_singletonproof · cited by 0