Theorems · Definition · order theory
ULift.orderIso
{α : Type u} → [inst : Preorder α] → ULift.{v, u} α ≃o αThe bijection ULift.{v} α ≃ α as an isomorphism of orders.
- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
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.
- Preorderstatement and proof · cited by 7,952
- OrderIsostatement · cited by 874
- Equiv.uliftproof · cited by 115
- Equiv.toOrderIsoproof · cited by 3
Cited by10
Results whose statement or proof uses this declaration.
- Ordinal.lift_cofproof · cited by 8
- SSet.stdSimplex.isoNerveproof · cited by 3
- SSet.prodStdSimplex.isoNerveproof · cited by 2
- OrderType.lift_id'proof · cited by 2
- OrderType.lift_liftproof · cited by 0
- OrderType.lift_type_eq_iffproof · cited by 0
- OrderType.lift_type_le_iffproof · cited by 0
- ULift.orderIso_applystatement and proof · cited by 0
- ULift.orderIso_symm_apply_downstatement and proof · cited by 0