Theorems · Theorem · order theory
Order.IsSuccLimit.dual
∀ {α : Type u_1} {a : α} [inst : Preorder α], Order.IsSuccLimit a → Order.IsPredLimit (OrderDual.toDual a)Alias of the reverse direction of Order.isPredLimit_toDual_iff.
- Defined in
- Mathlib.Order.SuccPred.Limit
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Preorderstatement and proof · cited by 7,952
- OrderDualstatement · cited by 927
- OrderDual.toDualstatement · cited by 481
- Order.IsSuccLimitstatement · cited by 255
- Order.IsPredLimitstatement · cited by 60
- Order.isPredLimit_toDual_iffproof · cited by 1
Cited by0
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