Theorems · Theorem · general topology
WithTop.continuous_untop
∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : TopologicalSpace ι] [inst_2 : OrderTopology ι],
Continuous fun x => (↑x).untop ⋯- Defined in
- Mathlib.Topology.Order.WithTop
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 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 · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topstatement · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement · cited by 6,101
- WithTopstatement · cited by 3,754
- Continuousstatement · cited by 2,592
- OrderTopologystatement and proof · cited by 1,355
- continuous_iff_continuousAtproof · cited by 139
- WithTop.untopstatement · cited by 36
- WithTop.tendsto_untopproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- WithTop.neTopHomeomorphproof · cited by 0