Theorems · Theorem · general topology
IndiscreteTopology.eq_top
∀ (α : Type u_2) {inst : TopologicalSpace α} [self : IndiscreteTopology α], inst = ⊤- Defined in
- Mathlib.Topology.Order
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IndiscreteTopology
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
- IndiscreteTopologystatement and proof · cited by 43
Cited by4
Results whose statement or proof uses this declaration.
- IndiscreteTopology.nhds_eqproof · cited by 2
- Topology.IsInducing.indiscreteTopologyproof · cited by 2
- IndiscreteTopology.isOpen_iffproof · cited by 2
- TopologicalSpace.not_indiscrete_iffproof · cited by 1