Theorems · Theorem · order theory
isCompl_toDual_iff
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : BoundedOrder α] {a b : α},
IsCompl (OrderDual.toDual a) (OrderDual.toDual b) ↔ IsCompl a b- Defined in
- Mathlib.Order.Disjoint
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses Quot.sound
- Assumes
- LatticeBoundedOrder
Around this declaration
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- OrderDualstatement · cited by 927
- Latticestatement and proof · cited by 916
- OrderDual.toDualstatement · cited by 481
- IsComplstatement · cited by 351
- BoundedOrderstatement and proof · cited by 270
- IsCompl.dualproof · cited by 6
- IsCompl.ofDualproof · cited by 2
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