Theorems · Theorem · order theory
AccPt.isPredLimit
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : TopologicalSpace α] [OrderTopology α] [PredOrder α] [NoMinOrder α]
{a : α} {s : Set α}, AccPt a (Filter.principal s) → Order.IsPredLimit a- Defined in
- Mathlib.Topology.Order.SuccPred
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- OrderTopologystatement and proof · cited by 1,355
- Filter.principalstatement and proof · cited by 740
- IsMaxproof · cited by 372
- PredOrderstatement and proof · cited by 334
- NoMinOrderstatement and proof · cited by 247
- AccPtstatement and proof · cited by 75
- Order.IsPredLimitstatement · cited by 60
- Order.isPredLimit_iffproof · cited by 10
- PredOrder.accPt_principalproof · cited by 2
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