Theorems · Theorem · order theory
BoundedOrderHom.dual_symm_apply_toOrderHom
∀ {α : Type u_2} {β : Type u_3} [inst : Preorder α] [inst_1 : BoundedOrder α] [inst_2 : Preorder β]
[inst_3 : BoundedOrder β] (f : BoundedOrderHom αᵒᵈ βᵒᵈ),
(BoundedOrderHom.dual.symm f).toOrderHom = OrderHom.dual.symm f.toOrderHom- Defined in
- Mathlib.Order.Hom.Bounded
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- Equiv.symmstatement and proof · cited by 3,681
- OrderHomstatement · cited by 934
- OrderDualstatement and proof · cited by 927
- BoundedOrderstatement and proof · cited by 270
- BoundedOrderHomstatement and proof · cited by 54
- OrderHom.dualstatement · cited by 48
- BoundedOrderHom.dualstatement and proof · cited by 7
- BoundedOrderHom.toOrderHomstatement and proof · cited by 4
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