Theorems · Definition · general topology
ContinuousMap.const
(α : Type u_1) → {β : Type u_2} → [inst : TopologicalSpace α] → [inst_1 : TopologicalSpace β] → β → C(α, β)The constant map as a continuous map.
- Defined in
- Mathlib.Topology.ContinuousMap.Basic
- Cited by
- 45 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- ContinuousMapstatement · cited by 2,491
Cited by73
Results whose statement or proof uses this declaration.
- Path.reflproof · cited by 36
- GenLoop.constproof · cited by 21
- BoundedContinuousFunction.constproof · cited by 20
- CompHausLike.constproof · cited by 12
- ContRepresentation.coind₁ιproof · cited by 10
- ContinuousMap.Nullhomotopicproof · cited by 6
- IsCoveringMap.liftHomotopyproof · cited by 6
- PadicInt.mahlerTermproof · cited by 6
- bernsteinApproximationproof · cited by 5
- ContinuousMap.concatproof · cited by 5
- ContinuousMap.comp_conststatement · cited by 3
- Condensed.fintypeCatAsCofanproof · cited by 3