Theorems · Theorem · general topology
NontrivialTopology.ne_top
∀ (α : Type u_2) {inst : TopologicalSpace α} [self : NontrivialTopology α], inst ≠ ⊤- Defined in
- Mathlib.Topology.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontrivialTopology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Top.topstatement · cited by 9,680
- NontrivialTopologystatement and proof · cited by 46
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalSpace.not_indiscrete_iffproof · cited by 1