Skip to content

Commit efcfeba

Browse files
committed
fix
1 parent c91c2b2 commit efcfeba

File tree

1 file changed

+7
-3
lines changed

1 file changed

+7
-3
lines changed

Mathlib/Topology/Instances/Discrete.lean

Lines changed: 7 additions & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -42,16 +42,20 @@ instance (priority := 100) DiscreteTopology.secondCountableTopology_of_countable
4242
(iUnion_of_singleton α)
4343

4444
set_option backward.isDefEq.respectTransparency false in
45-
theorem LinearOrder.bot_topologicalSpace_eq_generateFrom {α} [LinearOrder α] [PredOrder α]
46-
[SuccOrder α] : (⊥ : TopologicalSpace α) = generateFrom { s | ∃ a, s = Ioi a ∨ s = Iio a } := by
45+
theorem LinearOrder.bot_topologicalSpace_eq_preorderTopology {α} [LinearOrder α] [PredOrder α]
46+
[SuccOrder α] : (⊥ : TopologicalSpace α) = Preorder.topology α := by
4747
let _ := Preorder.topology α
4848
have : OrderTopology α := ⟨rfl⟩
4949
exact DiscreteTopology.of_predOrder_succOrder.eq_bot.symm
5050

51+
@[deprecated (since := "2026-03-22")]
52+
alias LinearOrder.bot_topologicalSpace_eq_generateFrom :=
53+
LinearOrder.bot_topologicalSpace_eq_preorderTopology
54+
5155
theorem discreteTopology_iff_orderTopology_of_pred_succ [LinearOrder α] [PredOrder α]
5256
[SuccOrder α] : DiscreteTopology α ↔ OrderTopology α := by
5357
refine ⟨fun h ↦ ⟨?_⟩, fun h ↦ .of_predOrder_succOrder⟩
54-
rw [h.eq_bot, LinearOrder.bot_topologicalSpace_eq_generateFrom]
58+
rw [h.eq_bot, LinearOrder.bot_topologicalSpace_eq_preorderTopology]
5559

5660
instance OrderTopology.of_discreteTopology [LinearOrder α] [PredOrder α] [SuccOrder α]
5761
[DiscreteTopology α] : OrderTopology α :=

0 commit comments

Comments
 (0)