Theorems · Theorem · order theory
OrderIso.range_eq
∀ {α : Type u_1} {β : Type u_2} [inst : LE α] [inst_1 : LE β] (e : α ≃o β), Set.range ⇑e = Set.univ- Defined in
- Mathlib.Order.Hom.Set
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- Set.univstatement · cited by 3,945
- OrderIsostatement and proof · cited by 874
- Function.Surjective.range_eqproof · cited by 70
- OrderIso.surjectiveproof · cited by 28
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.sSup_add_one_lt_of_lt_cofproof · cited by 2
- Real.range_expproof · cited by 1
- Ordinal.exists_isFundamentalSeqproof · cited by 1