Theorems · Theorem · order theory
Set.range_inl_union_range_inr
∀ {α : Type u_1} {β : Type u_2}, Set.range Sum.inl ∪ Set.range Sum.inr = Set.univ- Defined in
- Mathlib.Data.Set.Image
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- IsCompl.sup_eq_topproof · cited by 20
- Set.isCompl_range_inl_range_inrproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- linearIndependent_sumproof · cited by 3
- Matroid.disjointSum_ground_eqproof · cited by 1
- Set.Infinite.exists_union_disjoint_cardinal_eq_of_infiniteproof · cited by 1