Theorems · Definition · general topology
LocallyConstant.const
(X : Type u_5) → {Y : Type u_6} → [inst : TopologicalSpace X] → Y → LocallyConstant X YThe constant locally constant function on X with value y : Y.
- Defined in
- Mathlib.Topology.LocallyConstant.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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
- LocallyConstantstatement · cited by 227
- IsLocallyConstant.constproof · cited by 2
Cited by14
Results whose statement or proof uses this declaration.
- CompHausLike.LocallyConstant.unitproof · cited by 3
- LocallyConstant.constₗproof · cited by 1
- LocallyConstant.eq_conststatement · cited by 1
- LocallyConstant.constAddMonoidHomproof · cited by 1
- LocallyConstant.constMonoidHomproof · cited by 1
- LocallyConstant.constRingHomproof · cited by 1
- CompHausLike.LocallyConstant.adjunction_left_triangleproof · cited by 0
- CompHausLike.LocallyConstant.unit_appstatement · cited by 0
- LocallyConstant.exists_eq_conststatement · cited by 0
- LocallyConstant.comap_conststatement · cited by 0
- LocallyConstant.constAddMonoidHom_applystatement · cited by 0
- LocallyConstant.constMonoidHom_applystatement · cited by 0