Theorems · Theorem · order theory
denselyOrdered_iff_of_orderIsoClass
∀ {X : Type u_6} {Y : Type u_7} {F : Type u_8} [inst : Preorder X] [inst_1 : Preorder Y] [inst_2 : EquivLike F X Y]
[OrderIsoClass F X Y] (f : F), DenselyOrdered X ↔ DenselyOrdered Y- Defined in
- Mathlib.Order.Hom.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Preorderstatement and proof · cited by 7,952
- DenselyOrderedstatement and proof · cited by 471
- EquivLikestatement and proof · cited by 165
- exists_betweenproof · cited by 102
- EquivLike.invproof · cited by 42
- OrderIsoClassstatement and proof · cited by 15
- map_lt_map_iffproof · cited by 6
- map_inv_lt_map_inv_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- LinearOrderedCommGroup.discrete_iff_not_denselyOrderedproof · cited by 1
- denselyOrdered_iff_of_strictAntiproof · cited by 1