Theorems · Definition · order theory
OrderDual.toDual
{α : Type u_1} → α ≃ αᵒᵈtoDual is the identity function to the OrderDual of a linear order.
- Defined in
- Mathlib.Order.OrderDual
- Cited by
- 481 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 40 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- OrderDualstatement · cited by 927
- Equiv.reflproof · cited by 274
Cited by532
Results whose statement or proof uses this declaration.
- OrderHom.dualproof · cited by 48
- Antitone.dual_rightstatement · cited by 42
- Monotone.dualstatement · cited by 39
- ConcaveOn.dualstatement · cited by 35
- AntitoneOn.dual_rightstatement · cited by 29
- OrderIso.invproof · cited by 27
- OrderIso.negproof · cited by 27
- StrictConcaveOn.dualstatement · cited by 23
- CategoryTheory.orderDualEquivalenceproof · cited by 15
- Ideal.exists_minimalPrimes_leproof · cited by 14
- Set.Icc_toDualstatement · cited by 13
- Submodule.dualAnnihilator_gcstatement · cited by 13
Showing the 200 most cited of 532.