Theorems · Theorem · general topology
isQuotientMap_projIcc
∀ {α : Type u_1} [inst : LinearOrder α] {a b : α} {h : a ≤ b} [inst_1 : TopologicalSpace α] [OrderTopology α],
Topology.IsQuotientMap (Set.projIcc a b h)- Defined in
- Mathlib.Topology.Order.ProjIcc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- Set.preimageproof · cited by 4,946
- IsOpenproof · cited by 2,400
- Set.extproof · cited by 2,266
- Set.Iccstatement and proof · cited by 1,702
- OrderTopologystatement and proof · cited by 1,355
- IsOpen.preimageproof · cited by 147
- Topology.IsQuotientMapstatement · cited by 124
- Set.projIccstatement and proof · cited by 56
Cited by1
Results whose statement or proof uses this declaration.
- continuous_IccExtend_iffproof · cited by 0