Mathlib Map

Theorems · Definition · general topology

LocallyConstant.mapAddMonoidHom

{X : Type u_1} →
  {Y : Type u_2} →
    [inst : TopologicalSpace X] →
      {Z : Type u_6} →
        [inst_1 : AddZeroClass Y] → [inst_2 : AddZeroClass Z] → (Y →+ Z) → LocallyConstant X Y →+ LocallyConstant X Z

LocallyConstant.map as an AddMonoidHom.

Defined in
Mathlib.Topology.LocallyConstant.Algebra
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddZeroClassAddZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LocallyConstant.congrRightRingEquiv · cited by 2LocallyConstant.congrRigh…LocallyConstant.mapRingHom · cited by 1LocallyConstant.mapRingHomLocallyConstant.mapAddMonoidHom_apply · cited by 0LocallyConstant.mapAddMon…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassLocallyConstant · cited by 227LocallyConstantLocallyConstant.map · cited by 16LocallyConstant.mapLocallyConstant.mapAddMonoidH…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.