Theorems · Theorem · order theory
Set.image_univ
∀ {α : Type u_1} {β : Type u_2} {f : α → β}, f '' Set.univ = Set.range f- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 322 results in Mathlib
- Foundations
- Depth 16 from the axioms, rests on 70 definitions · uses propext, Classical.choice, Quot.sound
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by322
Results whose statement or proof uses this declaration.
- Subtype.range_coeproof · cited by 98
- Set.image_subset_rangeproof · cited by 76
- ModelWithCorners.target_eqproof · cited by 42
- Module.Finite.of_surjectiveproof · cited by 29
- Algebra.map_topproof · cited by 27
- isCompact_rangeproof · cited by 24
- Module.Finite.of_basisproof · cited by 22
- AlgebraicGeometry.IsAffineOpen.isCompactproof · cited by 17
- AlgebraicGeometry.Scheme.Hom.image_top_eq_opensRangeproof · cited by 17
- IsClosedMap.isClosed_rangeproof · cited by 12
- IsOpenMap.isOpen_rangeproof · cited by 11
- completeSpace_iff_isComplete_rangeproof · cited by 11
Showing the 200 most cited of 322.