Theorems · Theorem · order theory
Set.range_id
∀ {α : Type u_1}, Set.range id = Set.univ- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 24 from the axioms · 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 · cited by 53,352
- Set.rangestatement · cited by 4,705
- Set.univstatement · cited by 3,945
- Set.range_eq_univproof · cited by 50
Cited by37
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.isAffineOpen_topproof · cited by 26
- LinearMap.range_idproof · cited by 9
- mfderivWithin_eq_fderivWithinproof · cited by 8
- uniqueMDiffWithinAt_iff_uniqueDiffWithinAtproof · cited by 6
- mdifferentiableWithinAt_iff_differentiableWithinAtproof · cited by 5
- contMDiffWithinAt_iff_contDiffWithinAtproof · cited by 4
- hasMFDerivWithinAt_iff_hasFDerivWithinAtproof · cited by 4
- mdifferentiableAt_iff_differentiableAtproof · cited by 4
- contMDiffOn_projIccproof · cited by 4
- IsMIntegralCurveOn.comp_addproof · cited by 3
- IsMIntegralCurveOn.comp_mulproof · cited by 3
- contMDiffWithinAt_iff_sourceproof · cited by 3