Theorems · Theorem · general topology
LinearOrder.bot_topologicalSpace_eq_generateFrom
Deprecated since 2026-03-22Use LinearOrder.bot_topologicalSpace_eq_preorderTopology instead.
∀ {α : Type u_2} [inst : LinearOrder α] [PredOrder α] [SuccOrder α], ⊥ = Preorder.topology αAlias of LinearOrder.bot_topologicalSpace_eq_preorderTopology.
- Defined in
- Mathlib.Topology.Instances.Discrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- LinearOrderstatement · cited by 8,572
- Bot.botstatement · cited by 4,720
- SuccOrderstatement · cited by 574
- PredOrderstatement · cited by 334
- Preorder.topologystatement · cited by 24
- LinearOrder.bot_topologicalSpace_eq_preorderTopologyproof · cited by 2
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